Final answer:
To find g(f(1)), we first evaluate f(1) which is a constant function, resulting in f(1) = 8. Subsequently, we substitute into g(x) to compute g(8). The solution to g(f(1)) is 4.
Step-by-step explanation:
To solve for g(f(1)), we first need to substitute f(1) into the function g(x). Considering f(x) = 6 + 2 is a constant function (independent of x), it implies f(1) = 6 + 2 = 8. Now, we substitute this value into g(x) which yields g(8) because g(x) = (2x + 4)/5. Now, substituting 8 into g(x): Replace x with 8 in the equation for g(x): g(8) = (2(8) + 4)/5, Solve the equation: g(8) = (16 + 4)/5 = 20/5, Therefore, g(8) = 4.