Pl helllp. f(x) = 3x^3 - 4x² +6x and g(x) = 5x^3 + 2x² – 3x. What is f (x) - g(x)? A: -2x^3- 6x^2 +9x
B: -2x^3 - 6x^2 – 3x
C: 2x^3 + 6x^2 + 3x
D: 8x^3 - 6x^2 - 9x

A: -2x^3 - 6x^2 + 9x

Step-by-step explanation:

f(x) - g(x) is a simple subtraction problem, just like 2 - 1, or 8 - 5. So, treat the functions like normal questions.

> f(x) = 3x^3 - 4x^2 + 6x

> g(x) = 5x^3 + 2x^2 - 3x

> f(x) - g(x)

Substitute these values for f(x) and g(x).

> f(x) - g(x)

> (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)

Now, we combine like terms*:

> For x^3: (3x^3 - 5x^3) = -2x^3

> For x^2: (-4x^2 - 2x^2) = -6x^2

> For x: (6x + 3x) = 9x

*NOTE: Remember that when there is a subtraction sign in front of a group of numbers, all the numbers inside of the parenthesis are multiplied by -1, and get their signs switched.

Putting all of these values together, we get (-2x^3 - 6x^2 + 9x).

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step-by-step explanation:

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