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.

Question

asked Dec 7, 2020 230k views

1 Answer

Uben · Answer 1 · 2020-12-12T08:59:35+0000

Answer:

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

Explanation:

The function is defined as follows

g(x)=(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

$x^(2)-4=0\\\\\Rightarrow x^(2)=4\\\\\therefore x=\pm 2$