Question

F(x) = 3x3+ 8x-2 k(x) = 4x What is the value of K(F(x))?

Answer 1

Answer:

$k (3x^3 + 8x - 2) = 12x^3 + 32x - 8$

Step-by-step explanation:

Set up the composite result function.

k (F (x))

Evaluate k (F (x)) by substituting in the value of into.

$k (3x^3 + 8x - 2) = 4 (3x^3 + 8x - 2)$

Apply the distributive property

$k (3x^3 + 8x - 2) = 4 (3x^3) + 4 (8x) + 4(-2)$

Simplify

       Multiply 3 by 4.

            $k (3x^3 + 8x - 2) = 12x^3 + 4 (8x) + 4(-2)$

       Multiply 8 by 4.

             $k (3x^3 + 8x - 2) = 12x^3 + 32x + 4(-2)$

      Multiply  4 by -2.

              $k (3x^3 + 8x - 2) = 12x^3 + 32x - 8$