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: Recall domain definition

The domain of a rational function is all real - numbers except where the denominator is zero.
Set the denominator equal to zero: $x - 1=0$.

Step2: Solve for x

Solving $x - 1 = 0$ gives $x = 1$.

Step3: Write domain in interval notation

The domain of $f(x)$ is all real numbers except $x = 1$. In interval notation, it is $(-\infty,1)\cup(1,\infty)$.

Answer:

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