# Find the domain of the function f ( x ) = ( x + 1 ) 2 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 2.1, Problem 63E
To determine

## Find the domain of the function f(x)=(x+1)22x−1

Expert Solution

The domain of the function f(x)=(x+1)22x1 is (12,)

### Explanation of Solution

Given information: Consider the function f(x)=(x+1)22x1

Calculation:

For the numerator (x+1)2 all real values are acceptable to make the function is real and defined.

Don’t take the square root of a negative number in denominator, so the denominator must have, f(x)>0

2x1>0x>12

Hence the given function is defined for all the values of x in the set of real numbers except of the values greater than 6.

Thus, the domain of the function f(x)=(x+1)22x1 is (12,)

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