Perform the requested operation or operations. f(x) = x minus five divided by eight.; g(x) = 8x + 5, find g(f(x))

Solution:

It is given that

f(x) = (x - 5)/8

g(x) = 8x + 5

We have to find g(f(x))

We know that

g(f(x)) = 8 [(x - 5)/8] + 5

By further simplification

g(f(x)) = x - 5 + 5

g(f(x)) = x

Therefore, g(f(x)) is x.

Perform the requested operation or operations. f(x) = x minus five divided by eight.; g(x) = 8x + 5, find g(f(x))

Summary:

Performing the requested operation or operations f(x) = x minus five divided by eight.; g(x) = 8x + 5, g(f(x)) is x.