Answer:
4[tex]x^3[/tex] + [tex]x^2[/tex] -20x - 5
Step-by-step explanation:
(f*g)(x) means to multiply the two functions. (I think you meant a times sign instead of an x, right?)
So (4x + 1)([tex]x^2[/tex] - 5).
FOIL these two binomials.
(4x * [tex]x^2[/tex] ) + (4x * -5) + ([tex]x^2[/tex] * 1) + (1 * -5)
Simplify.
4[tex]x^3[/tex] - 20x + [tex]x^2[/tex] -5
Combine like terms. There are none, in this case!
Rearrange to standard form.
4[tex]x^3[/tex] + [tex]x^2[/tex] -20x - 5
