Consider the rational function f () = Determine whether each value for x is included or excluded from the domain. Hint: Factoring 27+2 %3! the denominator will make this question less challenging a) x = 2 b) I = 3! C) r = 0; d) z = 2! e) z = 3! : included : excluded 1.

Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: Find the domain of the function:f(x) = 5x2 + 2x − 1

A:

Q: let f(x) =4x+3 and g(x) =5x-2. find the function. f-g

A: Topic:- function

Q: Determine the number at which the function f(x) = (2x - 3)/(3x3-24) is discontinuous. Answer:

A:

Q: d - tan-(6x³) dx

A: As per guideline we have to solve 1st one

Q: Find all zeros of the function f(x) = 4x 16x? – x + 4. Enter the zeros separated by commas.

A:

Q: Determine the domain of the function f (x) = √(5 - 3x).

A: Given, fx=5-3x

Q: Determine the remainder when the function f(x) = -2x3 + 3x² – x + 5 is divided by x + 2.

A: Given that f(x)=-2x3+3x2-x+5 WWe have to find the remainder when f(x) divided by x+2.

Q: Find the reminder, when F(x) is divided by x -a, if F(x)=19x19-18x18+17x7+... +2x²+x, and a =-1

A: The objective is to find the remainder when F(X) is divided by (x-a) .