# Find the domain of the function g ( x ) = 7 − 3 x

### 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 54E
To determine

## Find the domain of the function g(x)=7−3x

Expert Solution

The domain of the function g(x)=73x is (,73]

### Explanation of Solution

Given information: Consider the function g(x)=73x

Calculation:

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

73x0x73

Hence the given function is defined for all the values of x in the set of real numbers except of the values greater than to 73 .

Thus, the domain of the function g(x)=73x is (,73]

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