BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2, Problem 83RE
To determine

Determine whether the given function h(x)=1x4 is one −to − one.

Expert Solution

Answer to Problem 83RE

Hence, h is not one −to − one

Explanation of Solution

Given information: Consider the function h(x)=1x4

Calculation:

Suppose that the numbers x1 and x2 such that h(x1)=h(x2) then,

  1x14=1x24x14x24x1x2

Recall the definition of one −to − one, suppose that the numbers x1 and x2 such that h(x1)=h(x2)x1=x2

Hence, h is not one −to − one.

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