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

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To simplify the expression 2f(x) + 3 where f(x) = 1/x, start by substituting f(x) to get 2(1/x) + 3, which simplifies to 2/x + 3. To combine these terms, convert 3 into a fraction with a common denominator of x, resulting in 3 = 3x/x. Adding the fractions gives (2 + 3x)/x, which is the desired result. Understanding how to add fractions by finding a common denominator is key to solving this problem. The final expression is (2 + 3x)/x.
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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!
 
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You have (2/x) + (3/1).

How do you add two fractions together?
 
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