Question

If
$f(x) = \frac{(3 + x)}{x - 3}$
what is
$f(a + 2)$
?

a)
$\frac{3 + f(a + 2)}{f(a) - 1}$
b)
$\frac{(5 + a)}{(a - 1)}$
c)
$\frac{(3 + a)}{(a - 3)} + 2$
​

Answer 1

Answer:

Option B: $\frac{5+a}{a-1}$

Step-by-step explanation:

Given function is:

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

In order to find f(a+2), we have to put a=2 in place of x in the function

So,

$f(a+2) = \frac{3 + (a+2)}{(a+2)-3}\\ =\frac{3+a+2}{a+2-3}\\ = \frac{5+a}{a-1}$

Hence, we can see that option b is correct ..