Please help me out :/

(f × g)(x) = 3x^3 - 14x^2 -27x + 18

Step-by-step explanation:

That is f(x) × g(x). You have to multiply them as separate polynomials.

(f × g)(x) = (3x^2 + 4x - 3)(x - 6)

Use the foil method.

(f × g)(x) = 3x^3 - 18x^2 + 4x^2 - 24x - 3x + 18

Finally, simplify.

(f × g)(x) = 3x^3 - 14x^2 - 27x + 18

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x