Question

Find (g*f)(3) f(x)=|x+2| g(x)=-x^2 a. -25 b. 1 c. d. -15

Answer 1

`(g\cdot f)(x)=g(x)\cdot f(x)\\\\f(x)=|x+2|,\ g(x)=-x^2\\\\(g\cdot f)(3)=g(3)\cdot f(3)\\\\\text{Put the value of x = 3 to the equations of a functions:}\\\\f(3)=|3+2|=|5|=5\\\\g(3)=-3^2=-9\\\\(g\cdot f)(3)=(-9)(5)=-45\\\\Answer:\ \boxed{-45}`