Question

Consider the following graph of two functions.(8.9(-2)Step 3 of 4: Find (8 (-2)Enable Zoom/Pan8(x) = 3x - 1101MA10-510-5f(x) = x + 3

Answer 1

Given:

Two functions are given

`\begin{gathered} f(x)=x+3 \\ g(x)=-3x-1 \end{gathered}`

Required:

We have to find (g.f)(-2)

Step-by-step 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

`g(f)(x)=-3(x+3)-1=-3x-9-1=-3x-10`

now put the value of x-2

`g(f)(-2)=-3(-2)-10=6-10=-4`

Final answer:

`(g.f)(-2)=-4`

for given equations