Composition of Functions

f(x) - 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(3))

100

f(x) = 3x²+4 g(x) = x+3

112

200

f(x) = 3x²-4 g(x) = x²-7x+5

143

300

f(x) = 3x²-5x+7 g(x) = -2x²+7x-3

7

400

f(x) = -2x²-7x+5 g(x) = 3x²-7x+3

-220

500

f(x) = -2x²-3x+4 g(x) = 2x²+3x-3

-1220

f(g(x+2))

100

f(x) = 4x g(x)= 2x

8x+16

200

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

-12x-24

300

f(x) = 3x+4 g(x) = 2x+3

6x+25

400

f(x) = 4x-3 g(x) = -3x+2

-12x-19

500

f(x) = -2x+4 g(x) = -3x-4

6x+24

f(g(x))

100

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

-12x

200

f(x) = 4x-5 g(x) = x-3

4x-17

300

f(x) = 2x²-4 g(x) = x-3

2x²-12x+14

400

f(x) = 3x²-4 g(x) = x-3

3x²-18x+23

500

f(x) = -3x²+5 g(x) = -2x+3

-12x²+36x-22

g(f(x))

100

f(x) = 4x g(x) = -4x

-16x

200

f(x) = 2x g(x) = -3x²

-12x²

300

f(x) = x+4 g(x) = 2x²-7

2x²+16x+25

400

f(x) = 2x-4 g(x) = -3x²+1

-12x²+48x-47

500

f(x) = -3x+4 g(x) = x²-12

9x²-24x+4