Question

the function g is defined below g(x)=x+3/(x^2-4) . Find all values of that are NOT in the domain of g. If there is more than one value, separate them with commas.

Answer 1

Answer:

The function is not defined at +2, -2.

Step-by-step explanation:

The function is defined as follows

$g(x)=\frac{x+3}{x^{2}-4}$

The function g(x) is not defined when the denominator in the function equals zero.

Thus the values of x at which the denominator becomes zero are not in the domain of g(x)

Hence the function is not defined iff

$x^{2}-4=0\\\\\Rightarrow x^{2}=4\\\\\therefore x=\pm 2$