Question

F(x) = 3x^2 -15
g(x) = 1 -2/3x

Answer 1

f(g(-6)) is equal to 60

Explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

`f(g(-6))\\= f(1 - (2(-6))/(3))\\= f(1 - (-12)/(3))\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60`