Given the function

​f(x)equals=5 x minus 95x−9.

​(a) Find

f Superscript negative 1f−1.

​(b) Graph f and

f Superscript negative 1f−1

in the same rectangular coordinate system.

​(c) Use interval notation to give the domain and the range of f and

f Superscript negative 1f−1.

Question content area bottom

Part 1

​(a)**** The inverse function is

f Superscript negative 1 Baseline left parenthesis x right parenthesisf−1(x)equals=enter your response here.

​(Use integers or fractions for any numbers in the​ expression.)

Part 2

​(b) Choose the correct graph which shows​ f(x) and

f Superscript negative 1 Baseline left parenthesis x right parenthesisf−1(x)

graphed in the same coordinate system. The graph of​ f(x) is shown as a solid line and the graph of

f Superscript negative 1 Baseline left parenthesis x right parenthesisf−1(x)

is shown as a dotted line.

A.

-1010-1010xy

A coordinate plane has a horizontal x-axis and a vertical y-axis each labeled from negative 10 to 10 in increments of 1. There are two lines. The solid line increases rapidly from left to right, intersecting the y-axis at negative 9 and the x-axis approximately at 1.8. The dotted line increases slowly from left to right, intersecting the x-axis at negative 9 and the y-axis approximately at 1.8.

B.

-1010-1010xy

A coordinate plane has a horizontal x-axis and a vertical y-axis each labeled from negative 10 to 10 in increments of 1. There are two lines. The solid line increases rapidly from left to right, intersecting the y-axis at negative 9 and the x-axis approximately at 1.8. The dotted line decreases slowly from left to right, intersecting the x-axis at negative 9 and the y-axis approximately at negative 1.8.

C.

-1010-1010xy

A coordinate plane has a horizontal x-axis and a vertical y-axis each labeled from negative 10 to 10 in increments of 1. There are two lines. The solid line decreases slowly from left to right, intersecting the y-axis approximately at 1.8 and the x-axis at 9. The dotted line increases rapidly from left to right, intersecting the y-axis at negative 9 and the x-axis approximately at 1.8.

D.

-1010-1010xy

A coordinate plane has a horizontal x-axis and a vertical y-axis each labeled from negative 10 to 10 in increments of 1. There are two lines. The solid line decreases slowly from left to right, intersecting the y-axis approximately at 1.8 and the x-axis at 9. The dotted line decreases rapidly from left to right, intersecting the y-axis at 9 and the x-axis approximately at 1.8.

Part 3

​(c) State the domain and range of​ f(x) using interval notation.

The domain of​ f(x) is

enter your response here​,

and the range of​ f(x) is

enter your response here.

Part 4

State the domain and range of

f Superscript negative 1 Baseline left parenthesis x right parenthesisf−1(x)

using interval notation.

The domain of

f Superscript negative 1 Baseline left parenthesis x right parenthesisf−1(x)

is

enter your response here​,

and the range of

f Superscript negative 1 Baseline left parenthesis x right parenthesisf−1(x)

is

enter your response here.