Question

Please help! Functions and Relationshipsf(x)= 3x^2 + 8x^2 - 7x - 4 g(x)= 2x - 6 find (f-g)(x)

Answer 1

B. (f - g) (x) = 3x³ + 8x² - 9x + 2

Explanation:

We have the following functions:

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

We perform the operation to obtain the result:

`\begin{gathered} \left(f-g\right)\left(x\right)=3x^3+8x^2-7x-4-\left(2x-6\right) \\ \\ \left(f-g\right)\left(x\right)=3x^3+8x^2-7x-4-2x+6 \\ \\ \left(f-g\right)\left(x\right)=3x^3+8x^2-7x-2x-4+6 \\ \\ \left(f-g\right)\left(x\right)=3x^3+8x^2-9x+2 \end{gathered}`

Therefore, the correct answer is B. (f - g) (x) = 3x³ + 8x² - 9x + 2