/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q4. If gx=2x-1, find g8 and g-8.Find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q4. (page 574)

  1. If gx=2x-1, find g8 and g-8.
  2. Find the image of 5.
  3. Find the pre image of 7.

Short Answer

Expert verified

(a) The value of g8 is 15 and value of g-8 is -17.

(b) The image of 5 is 9.

(c) The preimage of 7 is 4.

Step by step solution

01

a.Step 1. Given Information.

The function is gx=2x-1.

02

Step 2. Calculation.

To find g8, substitute 8 for x in the function gx=2x-1.

g8=28鈭�1=16鈭�1=15

To find g-8, substitute -8 for x in the function gx=2x-1.

g鈭�8=2鈭�8鈭�1=鈭�16鈭�1=鈭�17

03

Step 3. Conclusion.

Therefore, the value of g8 is 15 and value of g-8 is -17.

04

b.Step 1. Given Information.

The function is gx=2x-1.

05

Step 2. Explanation.

To find the image of 5, substitute 5 for x in the function gx=2x-1.

g5=25鈭�1=10鈭�1=9

So, g:5鈫�9.

06

Step 3. Conclusion.

Therefore, the image of 5 is 9.

07

c.Step 1. Given Information.

The function is gx=2x-1.

08

Step 2. Calculation.

For the preimage g:x鈫�2x-1 and 2x-1=7.

Substitute 7 for x in the equation 2x-1=7.

2x鈭�1=72x=7+1x=82x=4

09

Step 3. Conclusion.

Therefore, the preimage of 7 is 4.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In each exercise Rk:A鈫�A'. Find an equation of line k.

In Exercise 18-20, refer to the diagrams on page 578. Given the reflection Rm:PQ鈫�鈫�P'Q'鈫�, write the key steps of a proof that PQ=P'Q'for each case.

Case 2.

Explain in your own words the meaning of each phrase.

  1. An isometry preserves distance.
  2. Area is invariant under a reflection.
  3. Orientation is not invariant under a reflection.

Repeat Exercise 26 but roll the ball off two walls.

Show that the light ray follows the shortest possible path from A and C via the mirror by proving that for any point E on the mirror (other than B) AE+EC>AB+BC. (Hint: See the Application: Finding the Shortest Path, on page 224.)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.