f(x) = 3.13 + 4.02 – 82 - 2 g(x) = 3.1 - 5 Find (f - g)(). A. (f - g)(x) = 3.23 + 4x2 11x +3 B. (f - g)(x) = 3r3 + 4.22 - 112 - 7 C. (f-9)() = 3x3 + 4x² – 5x + 3 O D. (f -9)(x) = 3.2 + 4x 52 – 7

fx 313 402 82 2 gx 31 5 Find f g A f gx 323 4x2 11x 3 B f gx 3r3 422 112 7 C f9 3x3 4x 5x 3 O D f 9x 32 4x 52 7 class=

Respuesta :

The given functions are -

[tex]\begin{gathered} f(x)=3x^3+4x^2-8x-2 \\ g(x)=3x-5 \end{gathered}[/tex]

To find (f-g)(x) we just have to subtract the functions.

[tex]\begin{gathered} (f-g)(x)=(3x^3+4x^2-8x-2)-(3x-5) \\ (f-g)(x)=3x^3+4x^2-8x-2-3x+5 \\ \end{gathered}[/tex]

At last, we reduce like terms.

[tex](f-g)(x)=3x^3+4x^2-11x+3[/tex]

Therefore, the right answer is A.