Given:
Two functions are given
[tex]\begin{gathered} f(x)=x+3 \\ g(x)=-3x-1 \end{gathered}[/tex]
Required:
We have to find (g.f)(-2)
Explanation:
to find (g.f)(-2) first we have to find the (g.f)(x)
to find (g.f)(x) we have to put value of f(x) as x in g
[tex]g(f)(x)=-3(x+3)-1=-3x-9-1=-3x-10[/tex]
now put the value of x-2
[tex]g(f)(-2)=-3(-2)-10=6-10=-4[/tex]
Final answer:
[tex](g.f)(-2)=-4[/tex]
for given equations
