IDNLearn.com provides a user-friendly platform for finding answers to your questions. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

Dose anyone know how to solve this?

Dose Anyone Know How To Solve This class=

Sagot :

Answer:

  1. 3x³-6x²
  2. 3x²+x-2
  3. -16

Step-by-step explanation:

For 1: Multiply both functions together, expand, then simplify

(x-2)(3x²) = 3x³-6x²

For 2: Just add both functions together

For 3: Subtract both functions to get -3x²+x-2 and substitute x with -2

-3(-2)²-2-2 = -16

Answer:

[tex]f(x) = x - 2\\g(x) = 3x^2\\(f \cdot g)(x) = f(g(x))[/tex]

             [tex]=f(3x^2) \\= (3x^2) - 2 \\= 3x^2 - 2[/tex]

[tex](f+g)(x) = f(x) + g(x)[/tex]

              [tex]=(x-2) + (3x^2)\\= 3x^2 + x - 2[/tex]

[tex](f-g)(-2) = f(-2) - g(-2)[/tex]

                 [tex]= ((-2) - 2) - ( 3 (-2)^2)\\=(-2-2) - (3 \times 4)\\=-4-12\\=-16[/tex]