venclovaitev venclovaitev
  • 23-09-2016
  • Mathematics
contestada

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

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 25-09-2016
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)
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