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f(x)=3x−7
and g(x)=−2x−6
. Find (f∘g)(4)
.
To find (f∘g)(4), we need to substitute g(4) into f(x).
First, let's find g(4):
g(x) = -2x - 6
g(4) = -2(4) - 6
g(4) = -8 - 6
g(4) = -14
Now, substituting g(4) into f(x):
f(x) = 3x - 7
(f∘g)(4) = f(g(4))
(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.