Question

The function h is defined below.xh (x) =2+5x-- 142x- 81Find all values of × that are NOT in the domain of h.If there is more than one value, separate them with commas.

Answer 1

We want to find the value of x that is not in the domain of the function;

$h(x)=\frac{x^2+5x-14}{x^2-81}$

The value of x that will make h undefined is the value that makes the denominator zero.

Therefore;

$\begin{gathered} x^2-81=0 \\ x^2=81 \\ x=\pm9_{} \end{gathered}$

Therefore, the values not in the domain is +9 and -9