# To Express : The Function H ( x ) = 1 + x in the form f ∘ g .

### 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 54E
To determine

## To Express : The Function H(x) = 1+x in the form f∘g .

Expert Solution

Answer is g(x)=1+x and f(x)=x .

### Explanation of Solution

Given information : The function H(x) = 1+x is given.

Formula used : The concept of Combining Functions is used.

Calculation :

Since, the formula of H(x) says to add 1 to x and then take root, we let

g(x)=1+x And f(x)=x

Thus,

fg(x)=f(g(x))f(1+x)1+x = H(x)

Hence, the functions g and f, are g(x)=1+x and f(x)=x .

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