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91Ó°ÊÓ

Graph each function and its inverse on the same Cartesian plane

f(x)=(13)xf-1(x)=log13x

Short Answer

Expert verified

The graph of the given expression is

Step by step solution

01

Step 1. Given information

Given expression isf(x)=(13)xf-1(x)=log13x

02

Step 2. Points of the Curve  

Points of the function f(x)=(13)x

x
f(x)=(13)x
1
0.33
0
1
-1
3
03

Step 3. Points of the Curve   

Points of the function f-1(x)=log13x

x
f-1(x)=log13x
3
-1
role="math" localid="1651760638060" 1
0.33
0.33
1
04

Step 4. Graph of the functions  

The graph of the functionsf(x)=(13)x andf-1(x)=log13x is as follows :

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