Unit 7 Test Review - Gross

Operations of Functions

100

If f(x) = 3x² + 2 and g(x) = 4x-5, find (f+g)(x).

(f+g)(x) = 3x² + 4x - 3

200

If f(x) = 5x² -3x + 7 and g(x) = x³ - 4x² +5, find (f - g)(x).

(f-g)(x) = -x³ + 9x² - 3x + 2

300

If f(x) = x + 10 and g(x) = x² - x, find (fg)(x).

(fg)(x) = x³ + 9x² - 10x

400

If f(x) = 3x² and g(x) = 15x³, find

(f/g)(x)

.

(f/g)(x)=1/(5x

500

If f(x) = 3x⁴ and g(x) = x^2/3, find

(f/g)(x)

.

(f/g)(x)=3x^(10/3

Inverse Functions

100

Find the inverse function of: f(x) = 2x - 5

g(x) = (x+5)/2

200

Find the inverse function of: 

f(x) = 4x^2

g(x) = root2(x)/2

300

Find the inverse function of 

g(x)=root3((x+5)/4)

f(x)=4x^3-5

400

Describe the transformation that occurs when we graph a function and it's inverse.

The inverse is a ______________________over the line _________________.

It is a reflection over the line y=x.

500

Find the inverse function of:

f(x)=4x^(2/5

g(x) = x^(5/2)/32

Rational Equations

100

Solve for x.

9/(3x) = 4/(x+2)

x = 6

200

Solve for x.

8/(3x-2)=2/(x-1)

x = 2

300

Solve for x.

5/x+7/4=-9/x

x = -8

400

Solve for x.

1-8/(x-5)=3/x

x= 1, 15

500

In your volleyball practice, you have put into play 37 of the 44 serves you have attempted.  Using the equation:

90/100=(37+x)/(44+x)

Find the number of consecutive serves you need to raise your serve percentage to 90%.

x = 26 serves

Name that Domain

100

What is the domain of the function:

f(x) = x^(5/4

Domain: 

x >=0

200

What is the domain of the function:

f(x) = 3x^(3/5)

Domain:  All Real Numbers

300

If  f(x)=x^3+7 and

g(x) = x^2-5

, what is the domain of the function (f+g)(x)?

Domain: All Real Numbers

400

If

f(x)=4x^3

and

g(x) = x^(1/2

, what is the domain of the function (fg)(x)?

Domain: 

x>=0

500

If

f(x)=4x^3

and

g(x) = x^(1/2

, what is the domain of the function

(f/g)(x)

?

Domain: 

x>0