Question

F(x) = - 2x g(x) = 8x^2– 5x+7 Find (f .g)(x).

Answer 1

Answer:

$\large\boxed{(f\cdot g)(x)=-16x^3+10x^2-14x}$

Step-by-step explanation:

$f(x)=-2x\\\\g(x)=8x^2-5x+7\\\\(f\cdot g)(x)=f(x)\cdot g(x)\\\\\text{substitute:}\\\\(f\cdot g)(x)=(-2x)(8x^2-5x+7)\qquad\text{use the distributive property}\\\\(f\cdot g)(x)=(-2x)(8x^2)+(-2x)(-5x)+(-2x)(7)\\\\(f\cdot g)(x)=-16x^3+10x^2-14x$