Question

Demostrar el resultado:

Answer 1

f(x+3)/f(x-1) = f(4)      f(x)=2^x

2^(x+3)/2^(x-1)= 2^(4)

(2^x)*(2^3)/(2^x)*(2^(-1))= 2^(4)
simplificamos (2^x)

(2^3)/(2^(-1))=2^(4)

(2^3)*(2^(1))=2^(4)

2^(4)=2^(4)

Answer 2

$f(x+3)=2^{x+3}=2^{x}2^{3}\\f(x-1)=2^{x-1}=2^{x}2^{-1}\\\\Entonces:\\\\\frac{f(x+3)}{f(x-1)}=\frac{2^{x}2^{3}}{2^{x}2^{-1}}=\frac{2^{3}}{2^{-1}}=2^{4}=f(4)$