(asap)

find f(g(x)) if f(x) = 4 - 2x and g(x) = x + 12

a. -2x - 20
b. -x + 16
c. -2x - 8
d. -x - 20

A.

f(g(x)) just means you should go to f(x) and replace every instance of the variable x with g(x). So:

f(g(x)) = 4 - 2(x + 12)

And from here you just simplify:

f(g(x)) = 4 - 2x - 24

f(g(x)) = - 2x - 20

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."