Answer:
88
Step-by-step explanation:
Given the functions
f(x) = 3x² + x and g(x) = 2x
We are to find g(f(x))(-4)
First get g(f(x))
g(f(x)) = g(3x²+x)
Substitute x in g(x) with 3x²+x to have:
g(3x²+x) = 2((3x²+x))
g(3x²+x) = 6x² + 2x
Substitute = -4 into the result
g(f(x) (-4)) = 6(-4)² + 2(-4)
g(f(x) (-4)) = 6(16)-8
g(f(x) (-4)) = 96 - 8
g(f(x) (-4)) = 88
Hence the required answer is 88
