operations on functions

(f o g)(x)

100

f(x)=9x-7

G(x)=x²-8x+1

9x²-72x+2

200

f(x)=x²-4

g(x)=5x+1

25x²+10x-3

300

f(x)=x+3

g(x)=x-5

fog(x)=x-2

400

f(x)=4x+7

g(x)=8x²+13

32x²+59

f(x)*g(x)

100

f(x)=5x-1

g(x)=2x

10x²-2x

200

f(x)=x²+1

g(x)=3x-6

3x³-6x²+3x-6

300

f(x)=x-11

g(x)=x+2

x²-9x-22

400

f(x)=x²+6x+1

g(x)=x+7

x³+13x²+43x+7

f(x)/g(x)

100

f(x)=x+5

g(x)=x+7

(x+5)/(x+7) x cannot equal -7

200

f(x)=2x+3

g(x)=x²+8x+15

(2x+3)/(x²+8x+15) x cannot equal -5 or -3

300

f(x)=x²+4x+1

g(x)=x-12

(x²+4x+1)/x-12 x cannot equal 12

400

f(x)=x+2

g(x)=2x²+11x+9

(x+2)/(2x²+11x+9) x cannot equal -9/2 or -1

f(x)+g(x) or f(x)-g(x)

100

f(x)=4x+3

+

g(x)=-7x-14

-3x-11

200

f(x)=8x²+9

-

g(x)=-12x-5

8x²+12x+14

300

f(x)=5x²+19x-14

+

g(x)=-11x²-14x+10

-6x²+5x-4

400

f(x)=7x

-

g(x)=x²-6

-x²+7x+6

Could be anything

100

X²-25

(x-5)(x+5)

200

X³+8y³

(x+2y)(x²-2xy+4y²)

300

x⁶+y⁶

(x²+y²)(x⁴-x²y²+y⁴)

400

x⁶-y⁶

(x³+y³)(x³-y³)

(x+y)(x²-xy+y²)(x-y)(x²+xy+y²)