Inverse of a Function

Question 1

The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function?

Revolt · Accepted Answer

P–1(t) = log5

Question 2

Review the graph of function g(x).

Revolt · Accepted Answer

(–3, 0)

Question 3

Review the graph of function g(x).

Revolt · Accepted Answer

–5

Question 4

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 5

The points in the table below are on the graph of the function g(x). Which rule and table of values correspond to points on the graph of the function g‒1(x)?

Revolt · Accepted Answer

(a, b) → (b, a)

Question 6

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 7

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 8

Review the table of values for function f(x).

Revolt · Accepted Answer

1

Question 9

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 10

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.

Inverse of a Function Answers

More from this Course

TRY EDGENUITY HACKS