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91Ó°ÊÓ

Graph each function and its inverse on the same Cartesian plane.

f(x)=3xandf-1(x)=log3x

Short Answer

Expert verified

The graph is as follows :

Step by step solution

01

Step 1. Given information

Given expressions are :

f(x)=3xf-1(x)=log3x

02

Step 2. Points of the Curve

Points of the function f(x)=3x

x
f(x)=3x
1
3
0
1
-1
0.33
03

Step 3. Points of the Curve

Points of the function f-1(x)=log3x

x
f-1(x)=log3x
3
1
1
0
0.33
-1
04

Step 4. Graph of the given function

The graph of the functionsf(x)=3xand f-1(x)=log3xis as follows :

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