Question

Functions stuff. Picture attached. 30 points. thanks <3

Answer 1

`\Large \boxed{\mathrm{A}}`

Explanation:

`\displaystyle f(x) = (3+x)/(x-3)`

For f(a + 2), the input for the function f(x) is (a + 2).

Replacing x with (a + 2).

`\displaystyle f(a+2) = (3+(a+2))/((a+2)-3)`

Simplify the rational function.

`\displaystyle f(a+2) = ((3+2)+a)/(a+(2-3))`

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

Answer 2

A

Explanation:

So we have the function:

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

And we want to find:

`f(a+2)`

To do so, substitute in (a+2) for x:

`f(a+2)=(3+(a+2))/((a+2)-3)`

Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:

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

The answer is A.