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)=(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