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Chapter 6: Q. 1 (page 395)

The domain of the functionf(x)=x+12x+1is _______.

Short Answer

Expert verified

The domain of the functionfx=x+12x+1is x|x鈮�-12.

Step by step solution

01

Step 1. Given information.

We have:

fx=x+12x+1

02

Step 2. Find the domain.

The domain of the function is the set of input values for which the function is real and defined.

Find the undefined points by comparing the denominator to zero:

2x+1=02x=-1x=-12

The function domain is x<-12or鈥�x>-12.

Interval notation: -鈭�鈥�,鈥�-12鈭�-12,鈥�鈭�鈥�

Set builder form:x|x鈮�-12

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