domain of x/(1-x)^2 — step-by-step solution

Let's find the domain of

\frac{x}{{(1 - x)}^{2}}

For the expression

\frac{x}{{(1 - x)}^{2}}

to be defined, we must have:

{(1 - x)}^{2} \neq 0

{(1 - x)}^{2} \neq 0

is equivalent to:

1 - x \neq 0

ⓘ We add

x

to both sides

1 \neq x

▶Domain of definition:

x \neq 1