Help! need the answer

D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Step-by-step explanation:

You need to subtract g(x) from f(x).

(f - g)(x) = f(x) - g(x) =

= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)

Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.

= 4x^3 + 7x^2 - 2x - 1 - 4x + 2

Combine like terms.

= 4x^3 + 7x^2 - 6x + 1

D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

4x^3+7x^2-6x+1

Step-by-step explanation:

f(x) = 4x^3 +7x^2 -2x-1

g(x) = 4x-2

f(x) - g(x) = 4x^3 +7x^2 -2x-1 - ( 4x-2)

Distribute the minus sign

                4x^3 +7x^2 -2x-1 - 4x+2

Combine like terms

                   4x^3+7x^2-6x+1

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: