note: Enter your answer and show all the steps that you use to solve this problem in the space provided.f(x)=3x−7 and g(x)=−2x−6 . Find (f∘g)(4) .
To find (f∘g)(4), we need to first find the value of g(4) and then substitute that value into f.
1. Find g(4):
g(x) = -2x - 6
g(4) = -2(4) - 6
g(4) = -8 - 6
g(4) = -14
2. Substitute g(4) into f(x):
f(x) = 3x - 7
f(g(4)) = f(-14)
f(g(4)) = 3(-14) - 7
f(g(4)) = -42 - 7
f(g(4)) = -49
Therefore, (f∘g)(4) = -49.