Answer:
B . (fog)(-4) = - 61
Step-by-step explanation:
Here, given f(x) = 4 x + 7, g(x) = 3 x- 5
Now, by the COMPOSITE FUNCTION:
(f o g) (x) = f (g(x))
Now here: )f o g) ( -4) = f (g(-4))
Simplifying for g(x) = 3 x - 5
g(-4) = 3 (-4) - 5 = -12 - 5 = -17
or, g (-4) = -17
Now, for f(x) = 4 x + 7
f ( g(-4)) = f ( -17) = 4 (-17) + 7
= - 68 + 7 = - 61
or, f ( g(-4)) = - 61
Hence, (fog)(-4) = - 61
