Function Transformations and Inverses

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

• 19
• 23
• -10
• None of these.

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

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4
• 18x² + 48x + 32
• 18x² + 32
• None of these.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

When f(x) = 4x+8 and
g(x) = x+3, find
(f⋅g)(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

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

• -42
• -26
• -18
• None of these.

f(x) = (x-1)²

g(x) = 3x+4

h(x) = 3x-1

Find f(g(h(3)))

• 8

• 28

• 729

• 54

are these inverse functions?

• no
• yes
• no way to tell

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Are the following inverses of each other?

• True
• False