Alg 2: Composition of Functions

(f+g)(x)

100

f(x) = 3x²+4 

g(x) = x+3

3x²+x+7

200

f(x) = 3x²-4 

g(x) = x²+7x+5

4x²+7x+1

300

f(x) = 3x²-5x+7 

g(x) = -2x²+7x-3

x²+2x+4

400

f(x) = -2x²-7x+5 

g(x) = 3x²+7x+3

x²+8

500

f(x) = -2x²-3x+4 

g(x) = 2x²+3x-3

1

(f-g)(x)

100

f(x) = 3x+3 

g(x) = 2x+2

x+1

200

f(x) = 7x²+6x+5 

g(x) = 5x²+4x+3

2x²+2x+2

300

f(x) = 4x²-3x+2 

g(x) = 5x²+3x-2

-x²-6x+4

400

f(x) = -3x²-4x+5 

g(x) = -3x²+5x-2

-9x+7

500

f(x) = -2x²-4x-5 

g(x) = -4x²-4x+4

2x²-9

(f*g)(x)

100

f(x) = 4 

g(x) = 2x

8x

200

f(x) = 3x 

g(x) = -4x

-12x²

300

f(x) = 3x+4 

g(x) = 2x+3

6x²+17x+12

400

f(x) = 4x-3 

g(x) = -3x+2

-12x²+17x-6

500

f(x) = -2x+4 

g(x) = -3x-4

6x²-4x-16

g(f(x))

100

f(x) = -4

g(x) = 3x

-12

200

f(x) = 4x-5 

g(x) = x-3

4x-8

300

f(x) = 2x²-4 

g(x) = x-3

2x²-7

400

f(x) = 3x²-4 

g(x) = x-3

3x²-7

500

f(x) = -3x²+5 

g(x) = -2x+3

6x²-7

f(g(x))

100

f(x) = -4x 

g(x) = 4

-16

200

f(x) = 2x 

g(x) = -3x²

-6x²

300

f(x) = x+4 

g(x) = 2x²-3

2x² +1

400

f(x) = 2x-4 

g(x) = -3x²+1

-6x² - 2

500

f(x) = -3x+4 

g(x) = x²-12

-3x² + 40