If f(x)=2^x, the f(x+2)- f(x-2)= a) 17/2^x b)15·2^(x-2) c)17·2^(x-2) d)15·2^x e)17·2^x

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asked Dec 7, 2017 208k views

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Matias Elorriaga · Answer 1 · 2017-12-14T06:49:59+0000

f(x) = 2^x
f(x+2) - f(x - 2) = 2^(x + 2) - 2^(x - 2) = 2^x(2^2) - 2^x(1/2^2) = 2^x(2^2 - 1/2^2) = 2^x(4 - 1/4) = 2^x(15/4) = 15(2^x)(1/2^2) = 15·2^(x-2)

If f(x)=2^x, the f(x+2)- f(x-2)= a) 17/2^x b)15·2^(x-2) c)17·2^(x-2) d)15·2^x e)17·2^x

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