Function Operations

Adding Functions

100

f(x)= 3x-5 and g(x)= -x+2 Determine f(x)+g(x)

2x-3

200

Given f(x)= 3x^2 + 2, g(x)= 4x, h(x)= 7x-1 determine y=f(x)+g(x)+h(x)

What is y= 3x^2+11x+1

300

If h(x)= (f+g)(x) and f(x)=5x+2 determine g(x) if h(x)=3x^2+4x-2

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

Subtracting Functions

100

f(x)=6x and g(x)= x-2 Determine f(x)-g(x)

5x+2

200

Given f(x)= 3x^2 + 2, g(x)= 4x, h(x)= 7x-1 determine y=f(x)-g(x)-h(x)

y= 3x^2,-11x+3

300

If h(x)= (f-g)(x) and f(x)=5x+2 determine g(x) if h(x)=-2x^2+16x+8

g(x)= 2x^2 -11x-6

Multiplying Functions

100

Determine h(x)= f(x)g(x) if f(x)=x+7 and g(x)=x-7

h(x)= x^2 -49

200

Given f(x)= x+2, g(x)= x-3, and h(x)= x+4 determine y=f(x)g(x)h(x)

y= x^3 + 3x^2 - 10x -24

300

if h(x)= f(x)g(x) and f(x)= 2x+5, determine g(x) when h(x)= 10x^2 +13x -30

g(x)= 5x-6

Dividing Functions

100

Determine h(x)= f(x)/g(x) if f(x)=x+7 and g(x)=x-7

x+7/ x-7 x cannot be equal to 7

200

Given f(x)= x+2, g(x)= x-3, and h(x)= x+4 determine y=(f(x)g(x))/h(x)

(x^2 -x -6) / (x+4) x cannot be equal to -4

300

If h(x)= f(x)/g(x) and f(x)= 3x-1 determine g(x) when h(x)= 1/x+9

g(x)= 3x^2, 26x -9

Composite Functions

100

if f(x)= 2x+8 and g(x)= 3x-2 determine f(g(-2))

-8

200

if h(x)= f(g(x)) determine g(x) if h(x)= (2x-5)^2 and f(x) =x^2

g(x)= 2x-5

300

use the functions f(x)= 3x, g(x) = x-7, and h(x)=x^2 to determine g(f(h(x)))

3x^2-7