Respuesta :

[tex]\\ \rm\hookrightarrow f(x)=2^{x-5}[/tex]

f(8):-

[tex]\\ \rm\hookrightarrow 2^{8-5}[/tex]

[tex]\\ \rm\hookrightarrow 2^3[/tex]

[tex]\\ \rm\hookrightarrow 8[/tex]

Answer:

[tex]\huge\boxed{\sf f(8) = 8}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x) = 2 ^{(x-5)}[/tex]

Put x = 8

[tex]f(8) = 2^{(8-5)}\\\\f(8) = 2 ^3\\\\f(8) = 2 \times 2 \times 2\\\\f(8) = 8\\\\\rule[225]{225}{2}[/tex]