Answer:
[tex] 4x^3 + 2x^2 + 2x[/tex]
Step-by-step explanation:
The functions are [tex]f(x) = 9x^3 + 2x^2 -5x + 4[/tex] and [tex]g(x) = 5x^3 - 7x + 4[/tex]. Find the equation when g is subtracted from f and combing like terms. Remember like terms are terms with the same base and exponent.
[tex](9x^3 + 2x^2 -5x + 4) - (5x^3 - 7x + 4)\\f(x) - g(x) = 9x^3 + 2x^2 -5x + 4 -5x^3 + 7x -4\\f(x) - g(x) = 4x^3 + 2x^2 + 2x[/tex]