Given functions f and g, Find f-g. f(x)=6x-2, g(x)=9x-6

a)3x-4
b)-3x+4
c)-3x-8
d)15x-8

b)-3x+4

Step-by-step explanation:

f(x)=6x-2, g(x)=9x-6

f - g means to subtract the two functions so:

f - g = (6x - 2) - (9x - 6)                

first, distribute the negative sign to (9x - 6)

f - g = 6x - 2 - 9x + 6

then, combine like terms:

f - g = -3x + 4

(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

b and c

step-by-step explanation: