Domain of the Function

Algebra Level 2

What is the domain of the function y = x 3 x x 2 1 y = \dfrac{x^3-x}{x^2-1} ?

1 and -1 All real numbers except 1 and -1 All real numbers except 1 All real numbers except 0,1 and -1

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

The denominator of the function cannot be 0. 0.

x 2 1 0 x 2 1 x ( + / ) 1 x^2 -1 \neq 0 \Rightarrow x^2 \neq 1 \Rightarrow x\neq (+/-) 1

Hence, Domain D = R { 1 , 1 } \boxed{D = R - \{ -1,1\} }

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...