Function Inverses

Question 1

If , what is ?

Revolt · Accepted Answer

mc002-5.jpg

Question 2

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

Revolt · Accepted Answer

On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).

Question 3

Which graph shows a function whose inverse is also a function?

Revolt · Accepted Answer

On a coordinate plane, 2 curves are shown. f (x) is a curve that starts at (0, 0) and opens down and to the right in quadrant 1. The curve goes through (4, 2). The inverse of f (x) starts at (0, 0) and curves up sharply and opens to the left in quadrant 1. The curve goes through (2, 4).

Question 4

Which function has an inverse that is a function?

Revolt · Accepted Answer

m(x) = –7x

Question 5

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

Revolt · Accepted Answer

f(x) is a one-to-one function.

Question 6

If and , which expression could be used to verify g(x) is the inverse of f(x)?

Revolt · Accepted Answer

One-fifth (5 x minus 25) + 5

Question 7

Which function has an inverse that is also a function?

Revolt · Accepted Answer

{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Question 8

Which function has an inverse that is also a function?

Revolt · Accepted Answer

{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

Question 9

Which function has an inverse that is a function?

Question 10

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

Revolt · Accepted Answer

(3, 3)

Function Inverses Answers

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