Log out Go to App
Go to App

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=28−1=16−1=15

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

g−8=2−8−1=−16−1=−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=25−1=10−1=9

So, g:5→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→2x-1 and 2x-1=7.

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

2x−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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point C.

Show how to score a hole in one on the fifth hole of the golf course shown by rolling the ball off the wall.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP→to a point P'of the cylinder.

Describe the image of the globe’s equator.

Copy each figure on graph paper. Then draw the image by reflection in line k.

Copy each figure on graph paper. Then draw the image by reflection in line k.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

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.

Sign-up for free