if f(x) = 4x^4-6x^3+2x+4 and g(x) = 5x^3 -7x^2 -3x +7 what is (f-g) (x)
PLEASE HELP!

Answer:
option 4
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 4[tex]x^{4}[/tex] - 6x³ + 2x + 4 - (5x³ - 7x² - 3x + 7) ← distribute parenthesis by - 1
= 4[tex]x^{4}[/tex] - 6x³ + 2x + 4 - 5x³ + 7x² + 3x - 7 ← collect like terms
= 4[tex]x^{4}[/tex] - 11x³ + 7x² + 5x - 3