Q 61. Graph each function and its inve... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 5: Q 61. (page 298)

Graph each function and its inverse on the same Cartesian plane
$f (x) = {(\frac{1}{2})}^{x} f^{- 1} (x) = \log_{\frac{1}{2}} x$

Short Answer

Expert verified

The graph of the given expressions is :

Step by step solution

Step 1. Given information

Given expressions are

$f (x) = {(\frac{1}{2})}^{x} f^{- 1} (x) = \log_{\frac{1}{2}} x$

Step 2. Points of the Curve

Points of the function $f (x) = {(\frac{1}{2})}^{x}$

$x$	$f (x) = {(\frac{1}{2})}^{x}$
$1$	$0.5$
$0$	$1$
$- 1$	$2$

Step 3. Points of the Curve

Points of the function $f^{- 1} (x) = \log_{\frac{1}{2}} x$

x	$f^{- 1} (x) = \log_{\frac{1}{2}} x$
$4$	$- 2$
$1$	$0.5$
$0.25$	$2$

Step 4. Graph of the functions

The graph of the functions $f (x) = {(\frac{1}{2})}^{x}$ and $f^{- 1} (x) = \log_{\frac{1}{2}} x$ is as follows :

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91影视

Graph each function and its inverse on the same Cartesian plane
$f (x) = {(\frac{1}{2})}^{x} f^{- 1} (x) = \log_{\frac{1}{2}} x$

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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91影视

Graph each function and its inverse on the same Cartesian planef(x)=(12)x f-1(x)=log12x

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

Geometry

Applied Mathematics

Pure Maths

Statistics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Graph each function and its inverse on the same Cartesian plane
$f (x) = {(\frac{1}{2})}^{x} f^{- 1} (x) = \log_{\frac{1}{2}} x$