Question

Evaluate the following and show steps. f(x) = 15x – 12 and g(x) = -15x2 + 14x - 10 find g(f(7))

Answer 1

When we have a function such as h(x) = 2x, and we want to find the value of h at a given x value, we plug in the given number for x. For example, h(3) = 2*3 = 6.

We do the same thing with g(f(7)). In this case we plug 7 into f(x) for x, then plug the result of f(7) into g(x) for x.

f(7) = 15*7 - 12 = 93

g(93) = -15*93^2 + 14*93 - 10 = -128443