Composition of Functions

(f+g)(x)

100

f(x) = 2x²+4 g(x) = x+3

What is 2x²+x+7?

200

f(x) = 2x²-4 g(x) = x²+3x+2

What is 2x²+3x-2?

300

f(x) = 4x²-4x+6 g(x) = -3x²+6x-3

What is x_2+2x+3?

400

f(x) = -x²-6x+2 g(x) = 3x²+6x+3

What is 2x²+5?

500

f(x) = -3x²-4x+3 g(x) = 2x²+3x-3

What is -x²-x?

(f-g)(x)

100

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

What is x+2?

200

f(x) = 6x²+7x+5 g(x) = 3x²+3x+4

What is 3x²+4x+1?

300

f(x) = 3x²+3x-2 g(x) = 5x²-3x-2

What is -2x²+6x?

400

f(x) = -2x²+4x+6 g(x) = -2x²-3x-2

What is 7x+8?

500

f(x) = -x²-5x-4 g(x) = -3x²-5x+3

What is 2x²+10+1?

(f*g)(x)

100

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

What is 8x?

200

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

What is -12x²?

300

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

What is 6x²+8x?

400

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

What is 6x²-7x-3?

500

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

What is 6x²+x-12?

f(g(x))

100

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

What is -12?

200

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

What is 4x-12?

300

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

What is 2x^2-10x+12?

400

f(x) = 3x²-4 g(x) = x-3

What is 3x³-9x²-4x+12?

500

f(x) = -3x²+5 g(x) = -2x+3

What is 6x³-9x²-10x-15?

g(f(x))

100

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

What is -16?

200

f(x) = 2x g(x) = -3x²

What is -12x²?

300

f(x) = x+4 g(x) = x²-7

What is x²+8x+9?

400

f(x) = x-3 g(x) = -3x²+1

What is -3x²+18x-26?

500

f(x) = -3x+4 g(x) = x²-12

What is 9x²-24x+4?