Question

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

Answer 1

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

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`