Question

Consider the functions f(x)=4-X^2 and g(x)=3x+5.Find the value of f(g)g-2))).

Answer 1

First find the g(x)

g(-2)= 3(-2) +5

g(-2)= -6+5

g(-2)= -1

substitute for x in f(x) when x is -1

`\begin{gathered} F(-1)=4-(-1)^2 \\ F(-1)\text{ = 4-1} \\ F(-1)\text{ =3} \end{gathered}`

The correct option is the last option