Composition of Functions

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

• 3

• -3

• 21

• -21

find h(f(-1))

• -5

• 4

• -4

• 12

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

• -9

• 7

• -11

• None of these

• A.
• B.
• C.
• D.

Determine which two functions are composed so that f(g(x)) = h(x), where h(x) = (x-3)² - 5.

• f(x) = x - 3; g(x) = x² - 5

• f(x) = (x - 3)²; g(x) = x - 5

• f(x) = x - 7; g(x) = (x - 3)²+2

• f(x) = x²; g(x) = (x - 3) - 5

• 3
• 1
• 4
• None of the Above

• 6
• 8
• 15
• None of the Above

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

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

• 35/4

• 13/4

• 17/2

• None of the Above

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14

• 20

• 6

• 7