For the following exercises, find the domain of the rational functions. f(x)=\frac{x+1}{x^{2}-1}

glamrockqueen7

glamrockqueen7

Answered question

2021-09-12

For the following exercises, find the domain of the rational functions. f(x)=x+1x21

Answer & Explanation

delilnaT

delilnaT

Skilled2021-09-13Added 94 answers

1.Function:
f(x)=x+1x21
2. For a function that is defined by a fraction, the function is undefined when its denominator is equal to 0, therefore equate the denominator with 0 to evaluate the value of « for which the function will be undefined: x21=0
Factor using difference of squares method:
(x+1)(x-1)=0
Now equate each factor with 0 and solve for the variable, therefore:
x=-1
x=1
Therefore, it can be concluded that the domain of the function are all real numbers except x=-1 and x=1.

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