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Chapter 10: Q. 451 (page 1067)

Find the inverse of the functionfx=x5-9.

Short Answer

Expert verified

The inverse of the function is f-1x=x+95.

Step by step solution

01

Step 1. Given information.

Consider the given function,

fx=x5-9

Replace fxwith y,

y=x5-9

Replace xwith yand vice-versa,

x=y5-9

02

Step 2. Solve for y.

Add 9on both sides,

role="math" localid="1645025732251" x+9=y5y=x+95

Replace ywith role="math" localid="1645025745429" f-1x,

f-1x=x+95

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Most popular questions from this chapter

In the following exercises, find the inverse of each function.

f(x)=x2-9,x鈮�0

In the following exercises, match the graphs to one of the following functions:

鈸�2x鈸�2x+1鈸�2x鈭�1鈸�2x+2鈸�2x鈭�2鈸�3x

The given graph is,

In the following exercise, find the inverse of each function.

x3-4

On the same coordinate system, graph:

f(x)=3x

g(x)=3x+1

Convert from exponential to logarithmic form:

32x=324.
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