F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps.
I honestly have no idea how to do this. Can someone please explain what I have to do?
Is this right? 4x^3 + 2x^2 + 2x
To find f(x) - g(x), you simply subtract the two functions term by term.
Step 1: Write down f(x) - g(x) as follows:
f(x) - g(x) = (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
Step 2: Distribute the negative sign across the terms inside the parentheses:
f(x) - g(x) = 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4
Step 3: Combine like terms. Terms with the same exponent should be put together:
f(x) - g(x) = 9x^3 - 5x^3 + 2x^2 - 5x + 7x + 4 - 4
Step 4: Simplify the expression by combining like terms:
f(x) - g(x) = 4x^3 + 2x^2 + 2x
Therefore, f(x) - g(x) = 4x^3 + 2x^2 + 2x.