The function $m(x)=3-|x-1|$ is defined for $-5

Question

The function $m(x)=3-|x-1|$ is defined for $-5<x\le5$. Let $n(x)=\dfrac{1}{m(x)}$ wherever $m(x)\ne0$. Find the range of $n$, stating whether each finite boundary value is included.

Accepted Answer

$\left(-\infty,-\dfrac13\right)\cup\left[\dfrac13,\infty\right)$

An excluded boundary in a reciprocal modulus range

An excluded boundary in a reciprocal modulus range

Solution:

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