Question

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

Answer 1

The functions given in the question are

`f(x)=2x^3+6x^2-5x-3`

While

`g(x)=3x-4`

Find

`(f-g)(x)`

Concept: To evaluate the solution above, we will use the formula below

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

Step 1: Substitute the values, we will have

`\begin{gathered} (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=2x^3+6x^2-5x-3-(3x-4) \end{gathered}`

Step 2: Expand the brackets and then collect similar terms

`\begin{gathered} (f-g)(x)=2x^3+6x^2-5x-3-(3x-4) \\ (f-g)(x)=2x^3+6x^2-5x-3-3x+4 \\ (f-g)(x)=2x^3+6x^2-5x-3x-3+4 \\ (f-g)(x)=2x^3+6x^2-8x+1 \end{gathered}`

Hence,

(f-g)(x) = 2x³ + 6x² -8x + 1