If g(x)= x+2/x-2 and h(x) = 4 - X, what is the value of (GoH)(-3)?
A.) 8/5
B.) 5/2
C.) 15/2
D.)18/5
Answers
Answer:
A. 8/5
Step-by-step explanation:
please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.
the used symbolism of a composite function is nothing else than asking for
g(h(x)) for x=-3.
so, first we need to calculate h(-3) = 4 - -3 = 7
then we take that result as argument for g : g(7) = 8/5
so, altogether
g(h(-3)) = g(7) = 8/5
we can do this generically for x by substituting x in g by the expression of h
g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)
for x = -3 this gives (5- -3)/(2- -3) = 8/5
The value of the composite function (g o h) (-3) is 9/5.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:
(g o h)(x)
= g(h(x))
= g(4 - x)
= [(4 - x) + 2] / [(4 - x) - 2]
= (6 - x) / (2 - x)
Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:
(g o h)(-3)
= (6 - (-3)) / (2 - (-3))
= 9 / 5
Therefore,
The value of (g o h)(-3) is 9/5.
Learn more about functions here:
https://brainly.com/question/28533782
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Related Questions
I really need help❤️
Answers
Answer:
about (-3,1.5)
Step-by-step explanation:
Hope this helps!
Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.
Answers
Answer:
prime numbers
Step-by-step explanation:
not composite since,example, 2 is prime
not even since,example, 19 is odd
not odd since,example, 2 is even
Answer:
the answer is
prime numbers.
How many moles are in 30.0g of N2
Answers
Answer:1.0709
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
To be very accurate 1.1
Expand and simplify (x - 2)(x - 1)
Answers
Answer:
x^2 -3x+2
Step-by-step explanation:
(x - 2)(x - 1)
FOIL
first: x*x = x^2
outer: -1*x = -x
inner: -2*x =-2x
Last: -2*-1 =2
Add together
x^2 -x-2x+2
Combine like terms
x^2 -3x+2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(x - 2)(x - 1)}[/tex]
[tex]\large\textsf{DISTRIBUTE}[/tex]
[tex]\large\textsf{x(x) + x(-1) - 2(x) -2(-1)}[/tex]
[tex]\large\textsf{x(x) = }\mathsf{\bf x^2}[/tex]
[tex]\large\textsf{x(-1) = -1(x) = \bf -1x}[/tex]
[tex]\large\textsf{-2(x) = \bf -2x}[/tex]
[tex]\large\textsf{-2(-1) = \bf 2}[/tex]
[tex]\mathsf{= \bf x^2 - 1x - 2x + 2}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(-1x - 2x)}[/tex]
[tex]\mathsf{= \bf -3x}[/tex]
[tex]\large\textsf{SOLVE for the ANSWER:}[/tex]
[tex]\mathsf{x^2 - 3x + 2}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf x^2 - 3x + 2}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A boy is twice as old as his sister who is x years old now. In 2 years, the boy will be
Answers
Answer and Step-by-step explanation:
2x + 2 is the answer.
If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.
Then we add 2 when 2 years pass by.
#teamtrees #PAW (Plant And Water)
please help ty !!! :)
Answers
Answer: $9,240
Step-by-step explanation:
If the car was sold at 40% off,
That is 40/100=0.4
selling price=$6600
So, 40% of $6600= 0.4*$6600=$2640
this means that the seller deducted this amount from his cost price to sell it to you.
Therefore,original price he bought will be a sum of both,that is
the amount he sold to you + the amount he deducted =$6600+$2640=$9,240.
Therefore the original price is $9,240
hope it’s correct !
Answer:
Answer :-(40/100) × X = 6600
X = (6600×100)/40
X = 16500$
Hope it helped :)What expression would be easier to simplify if you use the associative property to change the grouping?
A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]
Answers
Answer:
B
Step-by-step explanation:
2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions
What is the surface area of the cylinder if the height is 11in and the radius is 4in?
Answers
Answer:
Around 376.99
Step-by-step explanation:
the formula is 2πrh+2πr²
so if we plug in everything we get 2π(4)(11)+2π(4)²
When we simplify that, we would get 376.99
What is the y-intercept of 4(0.6)^x
Answers
Answer:
4
Step-by-step explanation:
The y-intercept is where x = 0
y = 4(0.6)^0
y = 4(1)
y = 4
Help please, my 2nd time asking this question.
Answers
(1 / 4) + (1 / 2)
= (1 / 4) + {(1 × 2) / (2 × 2)}
= (1 / 4) + (2 / 4)
= 1 + (2 / 4)
= 3 / 4
(1 / 2) + (3 / 8)
= {(1 × 4) / (2 × 4)} + 3 / 2
= (4 / 8) + (3 / 8)
= (4 + 3) / 8
= 7/8
Answer:
#3 is [tex]\frac{3}{4}[/tex] #4 is [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
you must find a common denominator in both problems.
For #3 the common denominator is 4 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{2}{2}[/tex] to get [tex]\frac{2}{4}[/tex] then add the numerators together to get 3 and the denominator stays 4.
[tex]\frac{1}{4} + \frac{2}{4} = \frac{3}{4}[/tex]
For #4 the common denominator is 8 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{8}[/tex]
then add the numerators together to get 7 and denominator stays 8.
[tex]\frac{4}{8} + \frac{3}{8} = \frac{7}{8}[/tex]
the number 32747 written to 4 significant figure is
Answers
Answer: 3275
Step-by-step explanation:
Now Kathy is 3 times as old as Kaity. In 6 years Cathy will be twice as old as Kaity. How old is each girl right now
Answers
Kathy is 18 and Kaity is 6. In six years, Kathy will be 24 and Kaity will be 12.
Good luck :)
Answer:
Katie is 6; Cathy is 18!
Happy learning!
--Applepi101
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Answers
Answer:
See explanation for matching pairs
Step-by-step explanation:
Equations
(1)
[tex]x - y = 25[/tex]
[tex]2x + 3y = 180[/tex]
(2)
[tex]2x - 3y = -5[/tex]
[tex]11x + y = 550[/tex]
(3)
[tex]x - y = 19[/tex]
[tex]-12x + y = 168[/tex]
Solutions
[tex](-17,-36)[/tex]
[tex](47, 33)[/tex]
[tex](51, 26)[/tex]
Required
Match equations with solutions
(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]
Make x the subject in: [tex]x - y = 25[/tex]
[tex]x = 25 + y[/tex]
Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]
[tex]2(25 + y) + 3y = 180[/tex]
[tex]50 + 2y + 3y = 180[/tex]
[tex]50 + 5y = 180[/tex]
Collect like terms
[tex]5y = 180-50[/tex]
[tex]5y = 130[/tex]
Solve for y
[tex]y =26[/tex]
Recall that: [tex]x = 25 + y[/tex]
[tex]x = 25 + 26[/tex]
[tex]x = 51[/tex]
So:
[tex](x,y) = (51,26)[/tex]
(2) [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]
Make y the subject in [tex]11x + y = 550[/tex]
[tex]y = 550 - 11x[/tex]
Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]
[tex]2x - 3(550 - 11x) = -5[/tex]
[tex]2x - 1650 + 33x = -5[/tex]
Collect like terms
[tex]2x + 33x = -5+1650[/tex]
[tex]35x = 1645[/tex]
Solve for x
[tex]x = 47[/tex]
Solve for y in [tex]y = 550 - 11x[/tex]
[tex]y = 550 - 11 * 47[/tex]
[tex]y = 550 - 517[/tex]
[tex]y = 33[/tex]
So:
[tex](x,y) = (47,33)[/tex]
(3)
[tex]x - y = 19[/tex] and [tex]-12x + y = 168[/tex]
Make y the subject in [tex]-12x + y = 168[/tex]
[tex]y = 168 + 12x[/tex]
Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]
[tex]x - 168 - 12x = 19[/tex]
Collect like terms
[tex]x -12x = 168 + 19[/tex]
[tex]-11x = 187[/tex]
Solve for x
[tex]x = -17[/tex]
Solve for y in [tex]y = 168 + 12x[/tex]
[tex]y =168-12 *17[/tex]
[tex]y =-36[/tex]
So:
[tex](x,y) = (-17,-36)[/tex]
Need answer fasttt
Find the volume of a pyramid with a square base, where the side length of the base is
11.5 in and the height of the pyramid is 6.7 in. Round your answer to the nearest
tenth of a cubic inch.
Answers
Answer:
295.4 [tex]in^3[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]
= 295.358
≈ 295.4
What would be your first step in solving for x in this problem. Please EXPLAIN in words?
Answers
Answer:
Step-by-step explanation: distribute the 1.5 and the 2
Answer:
hey you need to multiple the number behind the parentheses by the number into the parentheses, like 1.5×2x
the you put Xs on the left side of the = and the numbers on the right side
then you do the sentence and at the end you got the amount for x :)
In which number does the digit 9 have a value that is ten times greater than the value of the digit 9 in the number 593,104? 95,378 529,092 691,525 922,198
Answers
Answer: (d)
Step-by-step explanation:
Given
The digit 9 in the number 593,104 is at the ten-thousandths place and the value which is 10 times its value must be at lakh place.
Matching with highest place values in the option
(a) Ten-thousand place
(b) Thousand place
(c) Ten-thousand place
(d) lakh Place
Therefore, (d) is the correct option.
Please help kitty(
<3
Answers
Answer:
A. increasing curve
Step-by-step explanation:
exponential equations always have a curve, so you know it has to be the one about a curve.
what is the correct answer
Answers
Answer:
the answer is D
Step-by-step explanation:
from :
Tan(60) = x/4 then X = Tan(60) × 4
X = 4×√3
Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.
Answers
Given:
The function is:
[tex]f(x)=x[/tex]
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left.
To find:
The equation of the transformed function.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then the graph is reflected across the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left. So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get
[tex]g(x)=(-1)f(x+7)+11[/tex]
[tex]g(x)=-(x+7)+11[/tex] [tex][\because f(x)=x][/tex]
[tex]g(x)=-x-7+11[/tex]
[tex]g(x)=-x+4[/tex]
Therefore, the required function is [tex]g(x)=-x+4[/tex].
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
int
A09) P(124
A. $512.63
B. $669.11
C. $674.43
D. $886.41
Answers
Answer:
$669
Step-by-step explanation:
Given data
Principal= $500
Rate= 6%
Time= 5 years
The compound interest formula is given as
A= P(1+r)^t
A=500(1+0.06)^5
A=500(1.06)^5
A=500*1.338
A=$669
Express 0.0003754 in scientific notation
Answers
Answer:
Scientific Notation: 3754 × [tex]10^{-4}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
3.754 • 10^-4
Step-by-step explanation:
Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!
Hope this helped, good luck! :)
A.)90
B.)80
C.)56
D.)24
Answers
Answer:
your answer is C
solve m-13=8 please help me
Answers
Answer: 5
Step-by-step explanation:
13-8=5
5-13=8
HELP ME PLEASE!
What is the probability that the card drawn is a face card or a club?
Answers
Answer:
52
52
is the correct answer the probability that card drawn is a faace card
Answer:
the probability of a drawing club is 13/52.
The probability of drawing a face card is 12/52.
Step-by-step explanation:
hope it's helpful
The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (X2 + 3). If area = length x width, what
is the length of the rectangle?
Answers
Given:
Area of a rectangle = [tex]x^3-5x^2+3x-15[/tex]
Width of rectangle = [tex]x^2+3[/tex]
To find:
The length of the rectangle.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is the width.
It is can be written as:
[tex]\dfrac{A}{w}=l[/tex]
[tex]l=\dfrac{A}{w}[/tex]
Putting [tex]A=x^3-5x^2+3x-15[/tex] and [tex]w=x^2+3[/tex], we get
[tex]l=\dfrac{x^3-5x^2+3x-15}{x^2+3}[/tex]
[tex]l=\dfrac{x^2(x-5)+3(x-5)}{x^2+3}[/tex]
[tex]l=\dfrac{(x^2+3)(x-5)}{x^2+3}[/tex]
[tex]l=x-5[/tex]
Therefore, the length of the rectangle is [tex]x-5[/tex].
A pack of six cans of coffee cost $12. How much would 15 cans of
coffee cost?
Answer $30
Bc 6can = $12
If 1can =2$
So 15 cans =30$
Answers
Answer:
$30
Step-by-step explanation:
$12/6=$2/can
$2/can x 15 cans=$30
Yesterday, 37% of the drivers for Quinn's Taxi Service worked. At Bella's Taxi Express, 3 out of 10 drivers worked. Which taxi service had a greater percentage of its drivers working?
Answers
Answer:
Quinn's Taxi Service
Step-by-step explanation:
a) Yesterday, 37% of the drivers for Quinn's Taxi Service worked.
Hence, the percentage for Quinn's Taxi Service drivers that are working is 37%
b) At Bella's Taxi Express, 3 out of 10 drivers worked.
The percentage for Bella's Taxi drivers that are working is calculated as:
3/10 × 100
= 30%
Therefore, the taxi service that had a greater percentage of its drivers working is Quinn's Taxi Service with a high percentage of 37%
Help With the answer Please
??????
Answers
Answer:
not sure
Step-by-step explanation:
Answer:
b) FIGURE A AND FIGURE B
Step-by-step explanation:
figure c has
all the sides equal so its not a rectangle
If any one could please help
Answers
Answer:
I believe it’s the 3rd option but I’m not completely confident
Step-by-step explanation:
who am I kidding I’m never confident lol
Help me please!!!!!!!!!!!!!
Answers
Answer:
The answer is 70 ways.
Step-by-step explanation:
8C4 = 70.
40320/576 is equal to 70.