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

1x²+2x+4

400

f(x) = -2x²-7x+5 

g(x) = 3x²+7x+3

1x²+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

1x+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

-1x²-6x+4

400

f(x) = -3x²-4x+5 

g(x) = -3x²+5x-2

-6x²-9x+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

f(g(x))

100

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

-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) = 4 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