Please answer number 8

Step-by-step explanation:

I missed the x >= 0.

therefore only positive x (and then renamed y) are possible for the reverse function

that is easy and quick.

y = x² + 2

y - 2 = x²

x = +sqrt(y - 2)

and after trading the variable names to a regular function definition we then have

y = +sqrt(x - 2)

so, D is the right answer.

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."