If f(x)=x^3-3-2x, and g(x)=x-1, what is (f*g)(x)?

2 Answers
Jun 18, 2018

x^3-3*x^2+x-2

Explanation:

(f*g)(x)=f(g(x))
f(g(x))=(x-1)^3-2(x-1)-3
=x^3-3*x^2+x-2

Jun 18, 2018

x^4-x^3-2x^2-x+3

Explanation:

(f*g)(x)=f(x)xxg(x)

=(x^3-3-2x)(x-1)

=color(red)(x^3)(x-1)color(red)(-3)(x-1)color(red)(-2x)(x-1)

=x^4-x^3color(blue)(-3x)+3-2x^2color(blue)(+2x)

=x^4-x^3-2x^2-x+3