Chapter 5: Q 62. (page 298)

Graph each function and its inverse on the same Cartesian plane
$f (x) = {(\frac{1}{3})}^{x} f^{- 1} (x) = \log_{\frac{1}{3}} x$

Short Answer

Expert verified

The graph of the given expression is

Step by step solution

Step 1. Given information

Given expression is $f (x) = {(\frac{1}{3})}^{x} f^{- 1} (x) = \log_{\frac{1}{3}} x$

Step 2. Points of the Curve

Points of the function $f (x) = {(\frac{1}{3})}^{x}$

$x$	$f (x) = {(\frac{1}{3})}^{x}$
$1$	$0.33$
$0$	$1$
$- 1$	3

Step 3. Points of the Curve

Points of the function $f^{- 1} (x) = \log_{\frac{1}{3}} x$

$x$	$f^{- 1} (x) = \log_{\frac{1}{3}} x$
$3$	$- 1$
role="math" localid="1651760638060" $1$	$0.33$
$0.33$	$1$

Step 4. Graph of the functions

The graph of the functions $f (x) = {(\frac{1}{3})}^{x}$ and $f^{- 1} (x) = \log_{\frac{1}{3}} x$ is as follows :

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Graph each function and its inverse on the same Cartesian plane
$f (x) = {(\frac{1}{3})}^{x} f^{- 1} (x) = \log_{\frac{1}{3}} x$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Points of the Curve

Step 3. Points of the Curve

Step 4. Graph of the functions

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Graph each function and its inverse on the same Cartesian planef(x)=(13)xf-1(x)=log13x

Short Answer

Step by step solution

Step 1. Given information

Step 2. Points of the Curve

Step 3. Points of the Curve

Step 4. Graph of the functions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

Graph each function and its inverse on the same Cartesian plane
$f (x) = {(\frac{1}{3})}^{x} f^{- 1} (x) = \log_{\frac{1}{3}} x$