Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.

Answers

Answer 1

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4


Related Questions

A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?

Answers

Answer: 30

6 times larger than the width = that's 5×6=30.

Answer:

30 is the answer

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for what values of x is x2+2x=24 true?

-6 and -4
-4 and 6
4 and -6
6 and 4 ​

Answers

Answer:

It is actually choice c

Step-by-step explanation:

I took the test

Answer:

c

Step-by-step explanation:

banlest plzz

3
Sean scored 48 points in 16 basketball games
last season. Approximately how many points did
Sean average per game?
A. .33
B. 3
C. 64
D. 768

Answers

Answer: a

Step-by-step explanation:

rosy wants a large picture window put in her living room of her new house. the window is to be square with an area of 49 square feet. how long should each side of the window be

Answers

7

the square root of 49 is 7

Answer this math question and ill give brainliest

Answers

Answer:

6 squares!

Hope this helped! :)

6 units (unless it’s there’s already a unit then just use that unit. it’s most likely cm)

Name a multiple of 13 that is between 30 and 100.

Answers

Answer:

39

Step-by-step explanation:

just did 13 plus 13 plus 13

Find the value for
20:5=30:X

Answers

Answer: 6

Step-by-step explanation:

20/5 = 30/x

5 = 30/x

x = 6

The value 'x' in the given equation is 7.5.

What is the ratio of two numbers?

"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."

Given, 20:5=30:X

⇒ [tex]\frac{20}{5} = \frac{30}{x}[/tex]

⇒ x = (30 × 5) / 20

⇒ x = 7.5

Therefore, the value of x is 7.5.

Learn more about ratio here:

https://brainly.com/question/84904

#SPJ2

3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.

A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9​

Answers

Answer:

it is C

Step-by-step explanation:

A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?

Answers

Answer:

90%

Step-by-step explanation:

We know that

9/10

is the same as

9÷10

Then using

Long Division for 9 divided by 10

gives us

0.9

Converting our number to a percentage:

0.9×100

=90%

(Note this isnt rounded up.)

True or false : dilations always have the same scale factor as the original shape

Answers

Answer:

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. ... After a dilation, the pre-image and image have the same shape but not the same size.

Answer:

I would say False

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. After a dilation, the preimage and image have the same shape but not the same size.

Hope this helps.

Write an equation perpendicular to x-3y=3 passes through (5,-9)

Answers

3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.

 Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.

    If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,

[tex]m_1\times m_2=-1[/tex]

Line given in the question is,

x - 2y = 3

-2y = 3 - x

[tex]y=\frac{1}{3}x-1[/tex]

Slope of this line is,

[tex]m_1=\frac{1}{3}[/tex]

Therefore, slope of the perpendicular line to the given line will be,

[tex]\frac{1}{3}\times m_2=-1[/tex]

[tex]m_2=-3[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (5, -9) and slope (-3) will be,

y - (-9) = -3(x - 5)

y + 9 = -3x + 15

y = -3x + 6

      Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.

Learn more,

https://brainly.com/question/20894159

Brainliest if you provide an explanation and/or get it right!

Q: Find the value of y if x = 3

Answers

y=1.75(3)

y=5.25

Hope this helps!! You just have to plug 3 in for x

40x + 44 = 38x + 44

Answers

Answer:

x = 0

Step-by-step explanation:

40(0) + 44 = 38(0) + 44

44 = 44

When x = 0 the equation is true

Answer:

x=no solution

Step-by-step explanation:

40x+44=38x+44

-44          -44

40x=38x

You bought a game system tor 120 and sold
it for $150. What is the percent increase?

Answers

Answer:

25%

Step-by-step explanation:

I think...

Answer:

25%

Step-by-step explanation:


Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?

Answers

6 4/5 = 6.8
4 1/2 = 4.5

6.8-4.5= 2.3

Answer: 2 3/10 more pounds of treasure

Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Answers

Answer:

multiply 1 1/3 by 8x6 and see how many packages

Write the equation of the line through the points (4,5) and (12,9)

Answers

Answer:

y - 9 = 1/2 (x - 12)

Step-by-step explanation:

find slope:

9-5 = 4, 12 - 4 = 8, slope = 1/2

put in point-slope form:

y - 9 = 1/2 (x - 12)

y = 1/2x + 3 is the answer

to even check plug in the points

5 = 1/2(4) +3
5=2+3
5=5

9=1/2(12) + 3
9=6 + 3
9=9

Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?

Answers

Answer:

one expression you could use could be, 10.25A +8.50K=total

Step-by-step explanation:

you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids

Answer:

$8.50a+$6.75k+$1.75a+$1.75k

Step-by-step explanation:

Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.

Answers

Answer:

A C E

Step-by-step explanation:

I'm a little late but I hope this still helps!

Answer:

yeah what he said. A C E

Step-by-step explanation:

I just did the assignment and its right

Type the following fractions in order from greatest to least:

5/4, 4/10, 5/12, ¼, 11/12


Write the decimals in the boxes from greatest to least:

0.5, 0.91, 0.04, 0.89, 0.51

Answers

Answer:

Just put the greatest number first and then the second greatest etc

If the ratio of circles to triangles you will only need to write ratios in one form of your choice

Answers

Answer:

Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle

Step-by-step explanation:

Determine the y-intercept for 3x+2y=14​

Answers

Answer:

Using the slope-intercept form, the y-intercept is 7

Step-by-step explanation:

Answer: y=7-3x/2      3x/2 is seen as a fraction

Step-by-step explanation:

Move all the terms that don’t contain y to the right and then solve

6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n​

Answers

Answer:C it’s bc it says at least 12 time the number subtracted from 76

Step-by-step explanation:

If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly

what fraction is equal to 4.5

Answers

Answer:

9/2

Step-by-step explanation:

in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...

we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...

now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2

since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4

now we need to find the remaining 1/2

this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)

Since 9/2 cannot be simplified any further... it is our final answer

Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction b. 12 possible outcomes; P(1 or 2) = One-third c. 6 possible outcomes; P(1 or 2) = One-fourth d. 6 possible outcomes; P(1 or 2) = One-third Please select the best answer from the choices provided A B C D

Answers

Answer: D

Step-by-step explanation: Edge

Answer:

It is D i think.

A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?​

Answers

Answer:

Perimeter = 23.692 units

Step-by-step explanation:

Perimeter = sum of all his sides

then:

Perimeter = 4.15 + 7.092 + 12.45

Perimeter =  23.692 units

Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?

Answers

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ([tex]y = \frac{3}{4}x + 2[/tex])

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

[tex]y=\frac{3}{4}x+2[/tex]

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Learn more : brainly.com/question/20816424

3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.

Answers

Answer:

The ratio of men to women in this situation is 5/6.

Step-by-step explanation:

If you rewrite this as a percentage, it is 83.33%.

And also the alternative form of the answer is 0.83.

Hope this helps and if you could mark as brainliest. Thanks!

Answer:

125 : 150

25 : 30

5 : 6

Step-by-step explanation:

men ' s ratio is 5 while women' s is 6

4. There were 2000 students at the university.
After some students graduated, there were
1600 students remaining. By what percent did
the number of students at the university
decrease?

Answers

Answer:

20%

Step-by-step explanation:

you  take away the zeros and make it 16/20. 16/20=80%. 100%-80%=20%

Answer:

20%

Step-by-step explanation:

2000-1600=400

400/2000=1/5=20%

How to reduce 0.35 to the lowest term

Answers

Answer:

7/20

Step-by-step explanation:

[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]

Answer:

7/20

Step-by-step explanation:

35/5=7

100/5=20

35/100=7/20

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