Question

If f(x+y) = f(x)f(y) such that f(3) = 64. Find the value of f(2)-f(1) .

Collected in the board: Function

Steven Zheng posted 2 weeks ago

Answer

f(x+y) = f(x)f(y) implies f(x) is an exponential function a^x.

f(3) = 64 = 4^3 suggests f(x) = 4^x

Therefore

f(2)-f(1) = 4^2-4^1 = 12

Steven Zheng posted 2 weeks ago

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