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 89RE
To determine

To find: The inverse of function

Expert Solution

Answer to Problem 89RE

  f1(x)=3x1

Explanation of Solution

Given information:

A function f(x)= (x+1) 3

Calculation:

To prove that the function is one to one, let us assume ‘a’ and ‘b’ real numbers such that

f(a)=f(b)

   f(a)= (a+1) 3 f(b)= (b+1) 3 as,f(a)=f(b) (a+1) 3 = (b+1) 3 a+1=b+1a=b

Which means that the function is one to one function.

For inverse function i.e.,

  f1(x)y=f(x) y= (x+1) 3 swap'x'and'y' y= (y+1) 3 y+1=3x1

Or f1(x)=3x1 which is required equation of inverse of given function

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