Modeling With Functions Review

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

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

• -9
• 7
• -11
• None of these

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

• 19
• 23
• -10
• None of these.

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

• 182
• 40
• 61
• None of the Above

Find f[g(5)]

• 30

• 242

• 92

• 2

• 24

• 96

• 2

• -4

• 4

Extra Credit

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

Answer explanation

6