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 2.7, Problem 17E
To determine

To prove the function f(x)=x4+5 is one-to-one function

Expert Solution

Answer to Problem 17E

  x1=x2

Yes it isaone-to-one function

Explanation of Solution

Given information: f(x)=x4+5

Calculation:

Put x=x1,x2

Therefore,

  f(x1)=x14+5

And

  f(x2)=x24+5

For one-to-one

  f(x1)=f(x2)

  x14+5=x24+5 [Subtract 5 from both the sides]

  x14=x24

Hence x1=x2

So it is a one-to-one function

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