Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (f o g)(-5)
A.
-9
B.
3
C.
23
D.
-53
could you help me with this one? Would it be c?
(fog)(x)=f(g(x))
f(-4x+3)=-2(-4x+3)-7
Use x=-5 in that equation and simplify
To find (f o g)(-5), which means the composition of f and g evaluated at -5, we need to follow these steps:
1. Substitute x with -5 in the function g(x):
g(-5) = -4(-5) + 3
g(-5) = 20 + 3
g(-5) = 23
2. Substitute the result from step 1 into the function f(x):
f(g(-5)) = f(23)
f(23) = -2(23) - 7
f(23) = -46 - 7
f(23) = -53
So the answer is D. -53.