Answers
Answer:
Option 3
Step-by-step explanation:
Given functions are,
f(x) = [tex]\frac{1}{x-3}[/tex]
g(x) = [tex]\sqrt{x+5}[/tex]
Therefore, composite function (f o g) will be,
(f o g)(x) = f[g(x)]
= [tex]\frac{1}{\sqrt{x+5} -3}[/tex]
This function will be defined for,
Denominator > 0
[tex]\sqrt{x+5}-3>0[/tex]
[tex]\sqrt{x+5} >3[/tex]
[tex](x+5)>3^2[/tex]
[tex]x+5>9[/tex]
[tex]x>9-5[/tex]
[tex]x>4[/tex]
And [tex]x+5\geq 0[/tex]
[tex]x\geq -5[/tex]
Therefore, domain of the composite function will be,
[-5, 4) ∪ (4, ∞)
Option 3 will be the answer.
Related Questions
(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answers
Answer:
Hello!!!Step-by-step explanation:
The first step for solving this expression is to remove the first set of parenthesis.
-8.3x+4 - (3.2x-5)
Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following
-8.3x + 4 - 3.2x + 5
Collect the like terms with an x variable.
-11.5x + 4 + 5
Lastly, add the number to get your final answer
-11.5x + 9
Hope that helps you dear...
Have a nice day..
Buhbye!
What is the area of the triangle below? 10 cm 2 20 cm 2 10.5 cm 2 11 cm 2
Answers
Answer:
A = 10.5 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 3 , then
A = 0.5 × 7 × 3 = 10.5 cm²
Answer:
A = 10.5 cm²
Step-by-step explanation:
hope this helps
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answers
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
hey! i’ll give brainliest please help
Answers
Answer:
subject
Step-by-step explanation:
subject is a noun (person, place or thing)
verb is doing something *example: running
object is a thing *example: apple
conjunction is a word used to connect sentences *example: but
Verb: hit
Object: home run.
No conjunction present in that sentence
g(r)=25−3rg,
what does g(4) equal?
Answers
Answer:
g(4)= 25-12g
Step-by-step explanation:
g(r)= 25-3rg
g(4)= 25-3(4)g
g(4)= 25-12g
Answer:
13
Step-by-step explanation:
Khan
Please help me this is due tomorrow thank you
Answers
Answer:
The answer is option B.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all
Hope this helps
Help !!!!!Ella is making a solid clay sculpture in the shape of a cone.
Answers
Answer:
26p of clay.
Hope this helped
Answer:
151
Step-by-step explanation:
First, you find the radius which is 8/2. Next, you square the radius which is 16. Now you multiply 16 by pi which is 50.26548246. Now you do 9 divided by 3 which is 3. Then you multiply 50.26548246 by 3 to get 150.7964474 or 151
Ahmad and 19 of his friends won a competition.they shared the prize money of $70,000 equally.ahmad saved $2500 of his share and donated the rest.How much did ahmad donate?
Answers
==========================================================
Explanation:
There are 1+19 = 20 people total. The prize money $70,000 is divided among those 20 people equally to get (70,000)/20 = 3500 dollars per person.
Ahmad saves $2500 of his $3500 prize, leaving 3500-2500 = 1000 dollars leftover. This is the amount he donates.
The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3,26
What is the range of the numbers of employees in these departments?
23
51
O
26
18
Answers
Answer:
Range: 51
Step-by-step explanation:
Subtract the biggest by the smallest number:
54 - 3 = 51
hope this helps and is right. p.s i really need brainliest :)
The plot below shows the amount of liquid remaining in 555 basketball players' water bottles after practice. All measurements are rounded to the nearest \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction pint.
Answers
Answer:
3 times
Step-by-step explanation:
From the dot plot given ; distance between each tick mark is 1/4
Bottle with least water = 1/4
Bottle with most water = 3/4
Number of times bottle with most is more Than bottle with least :
All we need to do is divide the greatest by the least :
That is :
3/4 ÷ 1/4
3/4 * 4/1 = 12 / 4 = 3
3 times
Answer: 3 times
Step-by-step explanation:
Explain why there are infinitely many solutions to the equation
sin X = 1/2
Answers
Answer:
Well, everything can be turned into a half.
Step-by-step explanation:
(checking answer!)
What is the fraction representation of 0.196 (6 repeating)?
Answers
Answer:
49/250 I think I'm not sure though
Answer:
[tex]\frac{59}{300}[/tex]
Step-by-step explanation:
Recall that [tex]\frac{x}{9}[/tex] returns the decimal [tex]0.\overline{x}[/tex]. In this case, we only want the 6 repeating. We can achieve this by finding the fraction excluding the 6 and then adding the repeating fraction with the 6.
0.19 as a fraction is simply [tex]\frac{19}{100}[/tex]
[tex]\frac{6}{9}[/tex] returns a repeating digit 6. However, we would like the 6 to be in the thousands place. Since it's already in the tenth place, we will divide the fraction by 100 to put it in the thousands place: [tex]\frac{6}{9}\cdot \frac{1}{100}=\frac{6}{900}[/tex]
Adding these two fractions, we get:
[tex]\frac{6}{900}+\frac{19}{100}=\frac{6}{900}+\frac{171}{900}=\frac{177}{900}=\boxed{\frac{59}{300}}[/tex]
write a function rule that represents the relationship between x and f(x)
photo below:
Answers
Please help I don’t understand
Answers
Answer:
the answer is 4th option
If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?
Answers
Answer: c
Step-by-step explanation:
Janet uses 2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cups of strawberry jam?
Answers
Because we know from the information given that the number of strawberry jam cups will be 2 times the number of strawberry cups
PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!
Answers
Answer:
Step-by-step explanation:
BaF2 + Na2S = 2 NaF + BaS
In Paige’s class, 13 of the 20 students were born in Texas. Based in the information,
if there are 800 students at the school, how many students could be expected to have
been born in Texas?
Answers
Answer:
520
Step-by-step explanation:
13 out of 20 is equal to 520 out of 800
it is 65% and 65% of 800 is 520
Which function has the greater x-intercept Function A X, 0,2,4,6 Y, 10,8,6,4 Function B y = -2x^2 + 1
Answers
Answer:
function A
Step-by-step explanation:
First, we need to find the function of A. USing the coordinate points (0, 10) and (2,8)
Since y = mx+c
m = y2-y2/x2-x1
m = 8-10/2-0
m = -2/2
m = -1
From the coordinate (0, 10), the y-intercept is 10 i.e c = 10
The required equation is y = -x + 10
x intercept occurs at where y = 0
0 = -x+10
x =10
Hence the x-intercept of function A is 10
For Function B y = -2x^2 + 1
when y = 0
0 = -2x^2 + 1
2x^2 = 1
x^2 = 1/2
x = 1/√2
Hence the x intercept is 1/√2
Hence the function that has a greater y-intercept is function A
6. Mary worked 27 hours last week. If she gets paid $12/hour, what is her
gross pay?
Answers
Answer:
324
Step-by-step explanation:
you would multiply 27 × 12 and that would equal 324
The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.
Answers
Answer:
Step-by-step explanation:
loss amount=Rs 50000-Rs 45000
=Rs 5000
loss%=loss amount/original amount100%
=5000/50000*100
=500000/50000
=10%
what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)
Answers
21^2 - 15^2 = x^2
X^2 = 216
X=14.7
simplify: (13^2x+1 -5×169^x) / 9×169^x
Answers
[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Expanding 1 from 13^(2x + 1 )
[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
13 goes to the power of 2
[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Factorize 169^x from both parts
[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =
Simplify 169^x
[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =
[ 13 - 5 ] ÷ [ 9 ] =
[ 8 ] ÷ [ 9 ] =
8 / 9
Four students spoke to the Parents Club for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?
Answers
Explanation:
2/3 ÷ 4
Add 1 below 4 as a denominator:
2/3 ÷ 4/1
Reciprocate 4/1 and change to multiplication:
2/3 x 1/4
Solve:
2/3 x 1/4 = 2/12
Simplify 2/12
2/12 —> 1/6
Have a nice day! A brainliest would be nice:D
-SpaceMarsh
Can someone help me please?
Answers
Answer:
last option is correct: bc^5(5abc^6 + 2)
Step-by-step explanation:
Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4
Answers
Answer:
The equation is a conditional.
y = 7.5
Step-by-step explanation:
y - 11 + 3y = 6y + 4
4y - 11 = 6y + 4
4y - 4y - 11 = 6y - 4y + 4
- 11 = 2y + 4
- 11 - 4 = 2y + 4 - 4
2y = - 15
2y ÷ 2 = - 15 ÷ 2
y = - 7.5
Use the diagram and solve for x if:angel AOB= 4x - 2; Angel BOC=5x + 10; Angel COD=?
Answers
Answer:
4x-2+5x+10=90 degree(being perpendicular)
9x+8=90
9x=90-8
x=82/9
x=9.11
Step-by-step explanation:
I need help with this please it would make my day
Answers
Answer:
Its Y=30
Step-by-step explanation:
5y+y+2y-60=180
8y-60=180
8y=240
8y/8=240/8
y=30
find the value of x........................
Answers
Answers: x = 4 and y = 3
============================================================
Explanation:
Triangle UBD is congruent to triangle RAN
Note the order of the lettering as it's important.
BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,
BD = AN
2y+5 = 3y+2
5-2 = 3y-2y
3 = 1y
y = 3
-----------
Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,
UD = RN
15 = 2x+7
2x+7 = 15
2x = 15-7
2x = 8
x = 8/2
x = 4
Which numbers make a true statement when placed in the box? 5.067> □ Select each correct answer. 5.009 5.047 5.071 5.607
Answers
Answer: A, B
Step-by-step explanation:
Answer:
5.047 and 5.009
el gato?