Hello!
[tex]\large\boxed{(f*g)(x)=2x^{3} - x^{2} - 8x + 4}[/tex]
To find (f · g)(x), multiply the functions f(x) and g(x):
f(x) = 2x - 1
g(x) = x² - 4
Multiply:
(2x - 1)(x² - 4)
Use the FOIL technique:
2x(x²) - 4(2x) - 1(x²) - 1(-4) =
2x³ - 8x - x² + 4
Rearrange in decreasing order of degree:
2x³ - x² - 8x + 4
