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

User Dave Plug
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1 Answer

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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

User Dkarmazi
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