Question

If f (x) equals 3 + x / x - 3 what is f (a + 2)?​

Answer 1

ANSWER

$f(a + 2) = \frac{a + 5}{a - 1}$

EXPLANATION

The given function is

$f(x) = \frac{3 + x}{x - 3}$

To find f(a+2) we substitute x=a+2.

That is wherever we see 'x' we replace it with 'a+2'

$f(a + 2) = \frac{3 + a + 2}{a + 2 - 3}$

We simplify further to obtain:

$f(a + 2) = \frac{a + 5}{a - 1}$

This is defined for

$a \ne1$