Find the domain of the function. (Enter your answer using interval notation.)

f (x) = x+3/x^2-1

Question

Mathematics

Kristopher Koch

Today, 00:14

Find the domain of the function. (Enter your answer using interval notation.)

f (x) = x+3/x^2-1

+1

Answers (1)

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Orion · Answer 1

The domain is:

In interval notation:

(-infinity,-1) U (-1,1) U (1, infinity)

In inequality notation: x<-1 or or - 1
The problem:

Find the domain of f (x) = (x+3) / (x^2-1)

Step-by-step explanation:

The only thing that needs worrying here is the fraction since you can't divide by 0.

So if we solve x^2-1=0 we will find what x cannot be and everything else will be in the domain of the function.

Lets solve:

x^2-1=0

Add 1 on both sides:

x^2=1

Take square root of both sides:

x=1,-1

So the domain is all real numbers except x=-1, x=1.

The domain is:

In interval notation:

(-infinity,-1) U (-1,1) U (1, infinity)

In inequality notation: x<-1 or - 1

Find the domain of the function. (Enter your answer using interval notation.)f (x) = x+3/x^2-1

Find the domain of the function. (Enter your answer using interval notation.)

f (x) = x+3/x^2-1