Function Operations Compositions and Inverses

Find the inverse of f(x) = 3x +8

• f^-1(x) = 3(x-8)

• f^-1(x) = (8x-1)/3

• f^-1(x) = (x-8)/3

• f^-1(x) = (x+8)/3

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

f(x) = x²+9

g(x) = x-9

Find (f-g)(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Given f(x) = 2x - 5 and g(x) = x² − 4x + 5 What is (g-f)(x) =

• x²-6x+10

• -x²+6x-10

• x²-6x

• -x²-2x

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute:  g(f(0))

• -3

• -1

• 6x - 3

• x² + 1

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4

• 18x² + 48x + 32

• 18x² + 32

• None of these.

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

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)

• (-3,-1)(-4,-2)(-8,-6)

• (1,3)(2,4)(6,8)

• (-1,-3)(-2,-4)(-6,-8)

are these inverse functions?

• no

• yes

• no way to tell

Are the following inverses of each other?

• True

• False