Question

Find all values of x that are NOT in the domain of g.

Answer 1

Answer:

x=2,-2 are NOT in the domain of given function

Step-by-step explanation:

The domain consists of all the values of input that doesn't make the result approach to infinity. As the given function is a rational function, division by zero will lead to infinity so we have to find the numbers which will make the denominator equal to zero.

So,

putting the denominator equal to zero

$x^2-4 = 0\\x^2 = 4\\\sqrt{x^2} = \sqrt{4}\\x = 2, -2$

X=2 and x=-2 will make the denominator zero and the function will lead to infinity so

x=2,-2 are NOT in the domain of given function ..