Function Operations and Inverses

Addition & Subtraction

100

(f+m)(x)

3x²+5x-28

200

(g+m)(-3)

-20

300

(m-f)(x)

-x²-17x-52

400

(n-f)(8)

-233

500

(g-h-j)(x)

x²-3x-23

Multiplication

100

(jׂ·h)(x)

2x²+11x+12

200

(gׂ·h)(x)

2x³+3x²-32x-48

300

(gׂ·n)(-2)

120

400

(hׂ·m)(x)

2x³-9x²-98x-120

500

(fׂ·m)(-3)

39

Division

100

What are the restrictions for

(h/j)(x)

x≠-4

200

What are the restrictions for

(j/m)(x)

x≠10 and x≠-4

300

(h/g)(5)

13/9

400

(f/h)(x)

x+4

500

(j/m)(x)

1/(x-10)

Composition

100

(h￮j)(x)

2x+11

200

(n￮h)(x)

x-15/2  or x-7.5

300

(h￮g)(3)

-11

400

(g￮j)(x)

x²+8x

500

(f￮j)(x)

2x²+27x+88

Inverses

100

Find h^-1(x)

(x-3)/2

200

Find n^-1(x)

2(x+9) or 2x+18

300

Find g^-1(x)

sqrt(x+16)

400

Find k^-1(x)

(x-7)²+3

500

Find g^-1(20)

6