Question

Find the restrictions on the variable.

Answer 1

`(x-5)/(x+1)`,
`x\\eq -1, x\\eq -9`

Explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

`((x+9)(x-5))/((x+9)(x+1))` which is
`(x-5)/(x+1)`.

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.