Final answer:
To find the composite of two functions, substitute the second function into the first function. In this case, the composite of f(x) = 2x^2 - 4 and g(x) = 3x - 2 is 964 when g(8) = 22.
Step-by-step explanation:
To find the composite of two functions, we substitute the second function into the first function. In this case, we need to find f(g(8)).
First, substitute 8 into g(x), which gives us g(8) = 3(8) - 2 = 22.
Next, substitute 22 into f(x), which gives us f(22) = 2(22)^2 - 4 = 964.
Therefore, the composite of the functions f(x) = 2x^2 - 4 and g(x) = 3x - 2 is 964.