Inverse of a Function

Question 1

What are the additive and multiplicative inverses of h(x) = x – 24?

Revolt · Accepted Answer

additive inverse: j(x) = –x + 24; multiplicative inverse: k(x) =

Question 2

Consider the function h(x) =x2 – 12x + 58.Which represents a domain restriction and the corresponding inverse function?

Revolt · Accepted Answer

x ≥ 6; h–1(x) =

Question 3

For the constant function v(x) = 1, which statement describes the additive and multiplicative inverses?

Revolt · Accepted Answer

The multiplicative inverse is equal to v(x), but the additive inverse is not.

Question 4

Manish writes the functions g(x) = – 72 and h(x) = –(x + 72)3.Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?

Revolt · Accepted Answer

and

Question 5

The table shows several points for function f(x).Which statement correctly identifies a point on the graph of f–1(x)?

Revolt · Accepted Answer

The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).

Question 6

For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?

Revolt · Accepted Answer

The additive inverse is positive, while the multiplicative inverse is negative.

Question 7

Which statement describes how the graph of a function, h(x), and its inverse, h‒1(x), are related?

Revolt · Accepted Answer

The line y = x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x).

Question 8

Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = .Which statement describes whether Chivonne is correct?

Revolt · Accepted Answer

The domain restriction is correct, but the expression for f–1(x) is not.

Question 9

Given r(x) = , which represents a domain restriction on r(x) and the corresponding inverse function?

Revolt · Accepted Answer

x > 4; r–1(x) =

Question 10

Review the graph of function g(x).

Revolt · Accepted Answer

(–3, 0)

Inverse of a Function Answers

More from this Course

TRY EDGENUITY HACKS