/*! 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 hx=6x+1, find h12.聽Is h a on... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q4. (page 574)

If hx=6x+1, find h12.Is h a one-to-one function?

Short Answer

Expert verified

The value of h12 is 4 and the function h isa one-to-one function.

Step by step solution

01

Step 1. Given Information.

Consider the given function hx=6x+1.

02

Step 2. Calculation.

Substitute 12 for x in the equation.

h12=612+1=4

So, the value of h12 is 4.

To check whether a function is one-to-one or not, equation the image with pre image.

Let hx=y.

6x+1=yy鈭�16=x

03

Step 3. Conclusion.

From the above equation, it is clear that each image has one pre image value. Therefore, the function h is one-to-one.

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

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

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.
  1. Plot the points A6,1,B3,4, and C1,-3 and their images A',B', and C' under the transformation R:x,y鈫�-x,y.
  2. Prove that R is an isometry. (Hint: Let Px1,y1 and Qx2,y2 be any two points. Find P' and Q', and use the distance formula to show that PQ=P'Q'.)

Points A-D are reflected in the x-axis. Points E-H are reflected in the y-axis. State the coordinates of the images.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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.