Simple Function Question, Can't Figure Out How Answer is Achieved

[teetar]

1. The problem statement:
Pretty straight forward:
f(x)=1/x
Simplify 2f(x)+3
Evidently, the answer is (2+3x)/x but I don't know how to find that,

2. Homework Equations :
None, as far as I know

3. The Attempt at a Solution :
2f(x)+3 = 2(1/x) + 3 = 2/x + 3
I'm of course missing some simple step or identity that could help me, but I can't come up with any thoughts on how to navigate to the correct answer.

Any help will be greatly appreciated, thanks!

 

[Infinitum]

You have (2/x) + (3/1).

How do you add two fractions together?