Question

Simplify the rational expression. state any excluded values. 4x - 4/ x - 1

Answer 1

We need to simplify this expression:

$\frac{4x-4}{x-1}$

So, we will call this expression as:
$f(x) = \frac{4x-4}{x-1}$

We can write this equation like this:

$f(x) = \frac{4(x-1)}{(x-1)}$

So, if we simplify it, this can be written like this:

f(x) = 4 but given that the denominator can't be zero, then:
$x-1 \neq 0$ ∴ $x \neq 1$ 

Therefore:
f(x) = 4 if and only if $x \neq 1$