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5. for what value(s), if any, is the function $f(x) = \\frac{1}{x}$ not…

Question

  1. for what value(s), if any, is the function $f(x) = \frac{1}{x}$ not defined?

$x = 1$
$x = -1$
$x = 0$
the function is defined for all values of $x$.

Explanation:

Step1: Identify undefined condition

A rational function $\frac{1}{x}$ is undefined when denominator is 0.

Step2: Solve for undefined x

Set $x = 0$. The function is undefined at $x=0$.

Answer:

$x = 0$