Question

let f(x) = (x)/abs(x^2-9)
find the domain of f
write an equation for each vertical asymptote of the graph of f
write an equation for each horizontal asymptote of the graph of f
is f odd, even or neither? justify your answer.
find all values of x for which f is discontinuous and classify each discontinuity as removable or nonremovable

Answer 1

x is an odd function since it is following criteria
f(-x)=-f(x)

Answer 2

it is becoming discontinuous at 2 points {3,-3}

Answer 3

discontinuity is removable