Answer:
124
Explanation:
Step 1: Finding f(g(x))
To obtain f(g(x)), we substitute all x in f(x) with g(x).
That is, we put g(x) = -2x anywhere we see x in f(x).
Solution:
f(x) = x² -7x+4
f(g(x)) = (g(x))² -7(g(x))+4
f(g(x)) = (-2x)² -7(-2x)+4
f(g(x)) = 4x² +14x+4
Step 2: Computing the numerical value of f(g(4)):
We put 4 anywhere we see x (we set x=4):
Solution:
f(g(4)) = 4(4)² +14(4)+4
f(g(4)) = 4(16) +56+4
f(g(4)) = 64 +56+4
f(g(4)) = 124