F(x)=x^2. What is g(x)? A. g(x)= 1/4x^2

B. g(x)= (1/2x)^2

C. g(x)= 2x^2

D. g(x)= 1/2x^2

D. g(x) = 1/2 × x²

Step-by-step explanation:

we need to pick the function that delivers

g(2) = 2

as the given point shows the coordinates (2, 2).

that means x=2, y=g(x)=2

A. for x=2

1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1

wrong, as we need 2 as result.

B. for x=2

(x/2)² = (2/2)² = 1² = 1

wrong

C. for x=2

2×x² = 2×2² = 2×4 = 8

wrong

D. for x=2

1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2

correct

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0