Operations on Functions & Composition of Functions Review

Operations on Functions

100

f(x)=x²-18x+80

g(x)=x-10

Find: (f+g)(x)

x²-17x+70

200

f(x)=x²-5x-36

g(x)=x-9

Find: (f-g)(x)

x²-6x-27

300

f(x)=6x-16

g(x)=x+8

Find:(f·g)(x)

6x²+32x-128

400

f(x)=2x²-16,  g(x)=x-10

Find: (f/g)(x)

(include restriction from the denominator)

(2x²-16)/(x-10) 

where x ≠ 10

500

f(x)=x²+9x+7,  g(x)=2x+1

Find: (f/g)(x)

(include restriction from the denominator)

(x²+9x+7)/(2x+1)

x≠ -1/2

Composition of Functions

100

f(x)=x-4

g(x)=3x²+6x+9

Find: (f∘g)(x)

3x²+6x+5

200

f(x)=-x-5

g(x)=x²-6x+13

Find: (f∘g)(x)

-x²+6x-18

300

f(x)=x²+x+8

g(x)=3x+5

Find: f(g(x))

9x²+33x+38

400

f(x)=2x²-4x-6

g(x)=2x+7

Find: f(g(x))

8x²+48x+64

500

f(x)=2x²-5x-12

g(x)=-2x+2

Find: (f∘g)(x)

8x²-6x-14

Evaluate Composition of Functions

100

f(x)=x²+5x-10

g(x)=4x-2

Find: f(g(1))

4

200

f(x)=2x-8

g(x)=x²+7x+9

Find: (g∘f)(2)

-3

300

f(x)=2x-4

g(x)=2x²+4x-8

Find: f(g(-4))

12

400

f(x)=3x²-2x+2

g(x)=-2x-8

Find: (f∘g)(-5)

10

500

f(x)=2x²+2x-3

g(x)=-5x+3

Find: (g∘f)(0)

18

Evaluate Operations on Functions

100

f(x)=x²-18x+80

g(x)=x-10

Find: (f+g)(2)

40

200

f(x)=x²-5x-36

g(x)=x-9

Find: (f-g)(-1)

-20

300

f(x)=6x-16

g(x)=x+8

Find:(f·g)(3)

22

400

f(x)=2x²-15,  g(x)=x-10

Find: (f/g)(5)

-7

500

f(x)=x²+9x+7,  g(x)=2x+6

Find: (f/g)(-4)

13/2 or 6.5