composite function Find ( f o g) (-5) if f(x)= -2x-7 g(x) = -4x + 3
g(-5)=-4(-5)+3=23
f(23) = -2(23)-7 = -53
(f o g)(-5) = -53
To find the composite function (f o g)(-5), we need to substitute the value of -5 into g(x) first, and then substitute that result into f(x).
Given:
f(x) = -2x - 7
g(x) = -4x + 3
Step 1: Substitute -5 into g(x)
g(-5) = -4(-5) + 3
= 20 + 3
= 23
Step 2: Substitute the result from Step 1 into f(x)
f(g(-5)) = f(23)
= -2(23) - 7
= -46 - 7
= -53
Therefore, (f o g)(-5) = -53.