Calculating \(\frac{1}{2} * f(x)\) for each of the answer options, we get
A. \(f(x)= 2x+2\) -> \(\frac{1}{2} * f(x) = \frac{2(x+1)}{2} = (x+1)\). Now, \(f(\frac{1}{2}*x) = 2*\frac{1}{2}*x + 2 = x + 2\)
B. \(f(x)=13x\) -> \(\frac{1}{2} * f(x) = \frac{13x}{2}\). Now, \(f(\frac{1}{2}*x) = 13*\frac{x}{2}= \frac{13x}{2}\)
We have a match for \(\frac{1}{2} * f(x) = f(\frac{1}{2}*x)\)
Therefore,
Option B [f(x) = 13x] is the correct answer.
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71% (01:22) correct 
