Question 1041901
{{{system(f(x+3)=2^(x+3),f(x-1)=2^(x-1))}}}


{{{2^(x+3)-2^(x-1)}}}


Rules for Exponents gives
{{{(2^x)(2^3)-(2^x)(2^(-1))}}}


Distributive Property, in reverse gives
{{{(2^x)(2^3-2^(-1))}}}


{{{(2^x)(2^3-1/2)}}}


{{{(2^x)(8-1/2)}}}


{{{(2^x)(16/2-1/2)}}}


{{{(2^x)(15/2)}}}


{{{(15/2)(2^x)}}}


Substitute the given function def.
{{{(15/2)f(x)}}}-------Result to be proved, DONE.