Question

practice session for test 1-2 - precalculus class of 20

1. $f(x)=\frac{3x - 2}{x - 1}$

a. find the domain of f(x) and express in interval notation.

Explanation:

Step1: Determine domain - denominator non - zero

The denominator of $f(x)=\frac{3x - 2}{x - 1}$ cannot be zero. So we set $x-1
eq0$.

Step2: Solve for x

Solving $x - 1
eq0$ gives $x
eq1$.

Step3: Write in interval notation

The domain is $(-\infty,1)\cup(1,\infty)$.

Answer:

$(-\infty,1)\cup(1,\infty)$