f(x)=3x−7 and g(x)=−2x−6 . Find (f∘g)(4) .
To find (f∘g)(4), first we need to find g(4) and then plug that result into f(x).
We have g(x) = -2x - 6.
Therefore, g(4) = -2(4) - 6 = -8 - 6 = -14.
Now that we have g(4) = -14, we can find f(g(4)).
f(x) = 3x - 7.
So, f(g(4)) = f(-14) = 3(-14) - 7 = -42 - 7 = -49.
Therefore, (f∘g)(4) = -49.