F(x)=3^x-4x^2+6x and g(x)=5x^3+2x^2-3x. What is f(x)-g(x)

-4x³ - 6x² + 9x

Step-by-step explanation:

Given functions:

f(x) = x³ - 4x² + 6x g(x) = 5x³ + 2x² - 3x

f(x) - g(x) is the difference of the above expressions:

f(x) - g(x)  = x³ - 4x² + 6x  - (5x³ + 2x² - 3x ) =                  ⇒ Substitutex³ - 4x² + 6x  - 5x³ - 2x² + 3x =                    ⇒ Open parenthesisx³(1 - 5) - x²(4 + 2) + x(6 + 3) =                      ⇒ Combine like terms-4x³ - 6x² + 9x                                              ⇒ Simplify

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