Pl find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity. (−∞, 0) (0, ∞) (−∞, 1) (1, ∞) (−∞, 5) (5, ∞) (−∞, −5) (−5, ∞)

Domain = (−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

Given the rational function:

The domain for the rational function will be all the real numbers except the values of x which make the denominator equal zero

So, we need to find the zeros of denominator as following:

x - 5 = 0

x = 5

So, denominator will be zero when x = 5

So, The domain = R - {5}

or can be written as  (−∞, 5) ∪ (5, ∞)

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."

dont understand

step-by-step explanation: