Question

If


`f(x) = ((3 + x))/(x - 3)`
what is

`f(a + 2)`
?

a)

`(3 + f(a + 2))/(f(a) - 1)`
b)

`((5 + a))/((a - 1))`
c)

`((3 + a))/((a - 3)) + 2`
​

Answer 1

Option B:
`(5+a)/(a-1)`

Explanation:

Given function is:

`f(x) = (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) = (3 + (a+2))/((a+2)-3)\\ =(3+a+2)/(a+2-3)\\ = (5+a)/(a-1)`

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