SOLUTION: If f(x) = 3^x , is it true that f(x) + f(x + 1) = 4f(x)? Justify accordingly.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If f(x) = 3^x , is it true that f(x) + f(x + 1) = 4f(x)? Justify accordingly.      Log On


   

Question 1179375: If f(x) = 3^x , is it true that f(x) + f(x + 1) = 4f(x)? Justify accordingly.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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If f(x) = 3^x , is it true that f(x) + f(x + 1) = 4f(x)? Justify accordingly.
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f(x) + f(x + 1) = 3%5Ex + 3%5E%28x%2B1%29 = 3%5Ex + 3%2A3%5Ex = 3%5Ex%2A%281+%2B+3%29 = 4%2A3%5Ex = 4*f(x).

Solved and justified accordingly, as requested.