# To Express : The Function F ( x ) = x − 1 3 in the form f ∘ g ∘ h . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2.6, Problem 56E
To determine

## To Express : The Function F(x)=x−13 in the form f∘g∘h .

Expert Solution

The Final Answer is h(x)=x , g(x)=x1 and f(x)=x3 .

### Explanation of Solution

Given information : The function F(x)=x13 is given.

Formula used : The concept of Combining Functions is used.

Calculation :

Since, the formula of F(x) says to subtract 1 from x and then take third root of it, we let,

h(x)=x , g(x)=x1 and f(x)=x3 .

Thus,

fgh(x)=f(g(h(x)))f(g(x))f(x1)x13= F(x)

Hence, the functions h, g, f, are h(x)=x , g(x)=x1 and f(x)=x3 .

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