Unit 2 Review

Adding/Subtracting

100

f(x)=3x+7 and g(x)=-2x+1

Find (f+g)(x)

x+8

200

f(x)=20x-10 and g(x)=-15x+10

Find f(x)+g(x)

5x

300

f(x)=6x-8 and g(x)=-6x+8

Find (f-g)(x)

12x-16

400

f(x)=7x²+2x-1 and g(x)=3x+11

Find f(x)+g(x)

7x²+5x+10

500

f(x)=x²-1 and g(x)=x²+3x-1

Find 2f(x)-g(x)

x²-3x-1

Multiplication

100

4x(2x+3)

8x²+12x

200

5(x+5)(x-5)

5x²-125

300

f(x)=3x² and g(x)=2x-9

Find(f*g)(x)

6x³-27x²

400

(5x²-3)(2x²-x+2)

Write answer in Standard Form

10x⁴-5x³+4x²+3x-6

500

f(x)=9x+2 and g(x)=9x²-2x+1

Find (f*g)(x)

81x³+5x+2

Division

100

(x²+7x+10) divided by (x+2)

x+5

200

(x³-2x²-5x+6) divided by (x-3)

x²+x-2

300

let f(x)=2x³+5x²-6x+9 and g(x)=x-3

Find(f/g)(x)

2x²+11x+27+(90/x-3)

400

Let f(x)=x-2 and g(x)=x³+3x²-5x-15

Find (g/f)(x)

x²-5x+5-(5/x-2)

500

Let f(x)=2x³-3x²+4x+5 and g(x)=x+2

Find f(x)/g(x)

2x²-7x+18-(31/x+2)

Composition of Functions

100

f(x)=2x and g(x)=x+2

Find (f o g)(x)

2x+4

200

f(x)=3x-3 and g(x)=4x+4

Find (g o f)(x)

12x+9

300

g(x)=5x³-2x-1

Find g(2)

35

400

Let f(x)=-4x-2 and g(x)=3x²

Find (g o f)(2)

-50

500

Let f(x)=8x-3 and g(x)=-3x+6

Find (f o g)(0)

45

Inverse Functions

100

What is the first step to finding the inverse?

Replace f(x) with y

200

Find the inverse of f(x)=3x+2

f^-1(x)=x-2/3

300

Find the inverse of f(x)= 5x+1/5

f^-1(x)= x-1/5

400

Find the inverse of f(x)=6x²+2

f^-1(x)=sqr6(x-2)/6 and -sqr6(x-2)/6

500

How do we know if two functions are inverses of each other?

The compositions of the two functions must equal x