Operations with Functions

Addition

100

f(x)=x²+5x+4

g(x)=3x²+1

4x²+5x+5

200

f(x)=-3x²-2x-8

g(x)=9x²+4

6x²-2x-4

300

f(x)=x³-9x+18

g(x)=9x²+12x+9

x³+9x²+3x+27

400

f(x)=x²+5x+6

g(x)=x³+3x²-4x-12

x³+3x²-4x-12

500

f(x)=-4x²(x+2)

g(x)=16(x+2)

-4x³-8x²+16x+32 

Subtraction

100

(f-g)(x)

f(x)=x²-10x-3

g(x)=-12x-4

x²+2x+1

200

(g-f)(x)

f(x)=x²+5x-3

g(x)=x²+5x+7

10

300

IN MOST FACTORED FORM

(f-g)(x)

f(x)=x²-2x-63

g(x)=-12x-87

x²+10x+24

400

(g-f)(x)

f(x)=x²-8x-33

g(x)=3x²-27

2x²+8x+6

500

(f-g)(x)

f(x)=(x+4)(x-4)

g(x)=-x²+16

2x²-32

Multiplication

100

f(x)=x+2

g(x)=x+7

x²+9x+14

200

f(x)=2x-1

g(x)=x-5

2x²-11x+5

300

f(x)=x-2

g(x)=x²-9

x³-2x²-9x+18

400

f(x)=x-9

g(x)=x²+4x-12

x³+5x²-48x+108

500

f(x)=x²-13x+40

g(x)=x+7

x³-6x²-51x+280

Division

100

(^f/_g)(x)

f(x)=x²-16

g(x)=x-4

x+4

200

(^f/_g)(x)

f(x)=x²+10x+21

g(x)=x+3

x+7

300

IN MOST FACTORED FORM

(^f/_g)(x)

f(x)=(x+3)

g(x)=x²-9

1/(x-3)

400

(g/f)(x)

f(x)=x²-81

g(x)=x²-7x-18

^(x+2)/_(x+9)

500

(^f/_g)(x)

f(x)=(x+4)(2x+7)

g(x)=2x²+15x+28

1