Question

Please help me with this pre cal problem and show work

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here we go ~

Let's equate the function with 0 to find its roots :

`\qquad \sf  \dashrightarrow \: \frac{ {x}^(2) - 9 }{2 + x} = 0`

`\qquad \sf  \dashrightarrow \: {x}^(2) - 9 = 0`

[ assuming x is not equal to -2, as it isn't defined on -2 ]

`\qquad \sf  \dashrightarrow \:(x + 3)(x - 3) = 0`

so, the required roots are : -3 and 3