Functions question: If f(x)= x-2, and 3f(v)=54, what is f(2v)?

If f(x)= x-2, and 3f(v)=54, what is f(2v)?
Try working through the logic, step by step:

You are given that f(x) = x - 2. Then f(v) = ...? It must be that f(x) = v - 2.

If f(v) = v - 2, then 3f(v) = ...? It must be that 3f(v) = 3(v - 2).

If 3(f(v)) = 54, then 3(f(v)) = ...? It must be that 3f(v) = 3(v - 2) = 54.

If 3(v - 2) = 54, then v = ...?

Given this value for v, what is the value of 2v?

Given that f(x) = x - 2, what then is the value of f(2v)?

If you get stuck, please reply showing your steps so far. Thank you! ;)
 
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