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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 first evaluate g(4), then substitute that value into f(x).
To find g(4), we substitute 4 for x in the function g(x):
g(x) = -2x - 6
g(4) = -2(4) - 6 = -8 - 6 = -14
Now, we substitute -14 into f(x):
f(x) = 3x - 7
f(-14) = 3(-14) - 7 = -42 - 7 = -49
So, (f∘g)(4) = -49.