# Find the domain of the function f ( x ) = 3 x − 2 x + 1

### 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, Problem 18RE
To determine

## Find the domain of the function f(x)=3x−2x+1

Expert Solution

The domain of the function f(x)=3x2x+1 is [(1,0)(0,)]

### Explanation of Solution

Given information: Consider the function f(x)=3x2x+1

Calculation:

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

x+10x1

And for denominator,

A rational expression is not defined when the denominator is 0.

Since x0

Hence the given function is defined for all the values of x in the set of real numbers except of the value x=0

Thus, the domain of the function f(x)=3x2x+1 is [(1,0)(0,)]

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