Final answer:
To find the composition of the functions (h·g)(x), we need to multiply g(x) into h(x). So, the composition function is -16x²-20x+14.
Step-by-step explanation:
To find the composition of the functions (h·g)(x), we need to multiply g(x) into h(x).
Given h(x) = 4x - 2 and g(x) = -4x - 7, we proceed as follows:
Here, (h·g)(x)=h(x)×g(x)
= (4x - 2)(-4x-7)
= 4x(-4x)-2(-4x)+4x(-7)-2(-7)
= -16x²+8x-28x+14
= -16x²-20x+14
The composition function is -16x²-20x+14.