Question

If f(x)=2x-6 and g(x)=x^3 , what is (g f)(6)

Answer 1

To calculate (g f)(6), apply f to 6 to get 6, and then apply g to 6 to get 216. Therefore, (g f)(6) equals 216.

Step-by-step explanation:

To find the value of (g f)(6), we need to first apply the function f to the value 6, and then apply the function g to the result of f(6).

First, we calculate f(6) using the given function f(x) = 2x - 6:

f(6) = 2(6) - 6 = 12 - 6 = 6

Now that we have f(6), we can find g(f(6)) using the given function g(x) = x³:

g(f(6)) = g(6) = 6³ = 216

Thus, the value of (g f)(6) is 216.