# Find the domain of the function h ( x ) = 2 x − 5

### 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 2.1, Problem 55E
To determine

## Find the domain of the function h(x)=2x−5

Expert Solution

The domain of the function h(x)=2x5 is [52,)

### Explanation of Solution

Given information: Consider the function h(x)=2x5

Calculation:

We can’t take the square root of a negative number, so we must have h(x)0

2x50x52

Hence the given function is defined for all the values of x in the set of real numbers except of the values less than to 52 .

Thus, the domain of the function h(x)=2x5 is [52,)

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