Composite Function Question

Question

Given the functions f(x) = 3x² - 7x and g (x) = x-6 find g(f(-5))

Answer 1

To solve this, we first have to evaluate f(-5):

f(-5) = 3(-5)² - 7(-5) = 110

Then we plug this into g(x) to get the final answer:

g(110) = 110 - 6 = 104

So g(f(-5)) = 104.