Question

Find all values of x are not in the domain of h

Answer 1

x = -1, 1

Explanation:

The function h(x) is given below:

`\displaystyle{h(x)=(x-9)/(x^2-1)}`

The denominator must not equal to 0. Therefore,

`\displaystyle{x^2-1\\eq 0}`

Solve the inequality; factor the expression:

`\displaystyle{(x-1)(x+1) \\eq 0}`

Hence,

`\displaystyle{x \\eq 1,-1}`

Therefore, x = -1, 1 both are not in the domain of h.