Chapter 5: Q 59. (page 298)

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

Short Answer

Expert verified

The graph is as follows :

Step by step solution

Step 1. Given information

Given expressions are :

$f (x) = 3^{x} f^{- 1} (x) = \log_{3} x$

Step 2. Points of the Curve

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

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

Step 3. Points of the Curve

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

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

Step 4. Graph of the given function

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

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

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 given function

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Graph each function and its inverse on the same Cartesian plane.f(x)=3xandf-1(x)=log3x

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 given function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Geometry

Applied Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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