Inverses,composition of functions, transformations, and domain/r

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 g(f(-10))

• -42
• -26
• -18
• None of these.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

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

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

p(x) = 3x + 4
q(x) = 2x²
Find p(q(0))

• 0
• 32
• 4
• None of these.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

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

• 8
• -8
• 28
• None of these.

Are these functions inverses of each other?

• Yes
• No

Find the inverse of the function including any restriction on domain

• f^-1 = (x + 3)² − 4, x ≥ −3
• f^-1 = (x − 4)² + 3,  x ≥ 4
• f^-1 = (x + 3)² − 4
• Inverse does not exist

Find the inverse of the function including any restriction on domain

• f^-1 = (x² + 2),  x ≤ 0
• f^-1 = (x² + 1) / 2,  x ≤ 0
• f^-1 = (x² − 1) / 2,  x ≥ 0
• Inverse does not exist