Question

find the domain of the given function. f(x)= sqrt(x+3) divided by (x+8)(x-2)

Answer 1

this site shall help: http://www.math.wvu.edu/~hjlai/Teaching/Tip-Pdf/Tip1-1.pdf

Answer 2

since you are not allowed to divide by zero, \(x\) cannot be \(-8\) or \(2\)

Answer 3

also you cannot take the square root of a negative number, so \(x+3\geq 0\) i.e. \(x\geq -3\)