Question

X-xsquare +1 /xsquare - 1. find its domain​

Answer 1

Explanation:

f(x) = (x^2–1)/(x - 1)

We have to check the domain of the function.Clearly domain of the given function is all real numbers except 1.

Now , f(x) = (x^2–1)/( x-1) = x + 1i.e If we take x not equal to 1, then the function is simply x+1.Which gives the Range as all Real Numbers.

But as x cannot be equal to 1, which means function x + 1 cannot be equal to 2.

Hence the Range of the function is R - { 2 }