Question

F(x)=7x³-4x²-x+6g(x)=8x²-3x+6 Find (f-g)(x)

Answer 1

Given:

`\begin{gathered} f(x)=7x^3-4x^2-x+6 \\ g(x)=8x^2-3x+6 \end{gathered}`

Required:

To find (f-g)(x).

Step-by-step explanation:

Let,

`(f-g)(x)=f(x)-g(x)`

Now

`\begin{gathered} (f-g)(x)=7x^3-4x^2-x+6-(8x^2-3x+6) \\ \\ =7x^3-4x^2-8x^2-x+3x+6-6 \\ \\ =7x^3-12x^2+2x \end{gathered}`

Final Answer:

`(f-g)(x)=7x^3-12x^2+2x`