Answer:
(f o g)(-3) = 10
Explanation:
f(x) = - 4x - 6
g(x)=3x+5
To find (f o g)(-3) we must first find
(f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
(f o g)(x) = - 4( 3x + 5) - 6
= - 12x - 20 - 6
(f o g)(x)= - 12x - 26
Now to find (f o g)(-3) substitute the value of x that's - 3 into (f o g)(x) and solve
We have
(f o g)(-3) = - 12(-3) - 26
= 36 - 26
We have the final answer as
(f o g)(-3) = 10
Hope this helps you