Trig: Function Composition

p(x) = 3x + 4

s(x) = 2x² Find p(p(-3))

p(x) = 3x + 4

s(x) = 2x²

Find p(s(x))

• 10x²
• 18x² + 4
• 6x² + 4

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

f(x)=x²-4
h(x)=3x+3
f(h(x))

• 3x²-9
• 12x²+8x+5
• 16x²-36x+20
• 9x²+18x+5

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

Given f(x) = x² - 3 and g(x) = x - 3, find f(g(f(3))).

• 0
• 3
• 6
• 9

g(x)=3x+4 h(x)=3x-1 Find h(g(x))

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

If f(x) = x-1 and g(x) = 2x,

what is g(f(x)) ?

• 2x²-1

• 2x-1

• 2x-2

• x-2