Question

Find the points of discontinuity , if any for the function : f(x) = `(x^2 - 9)/(sinx - 9)`

Answer 1

f(x) = `(x^2 - 9)/(sinx - 9)`

f(x) is discontinuous if sinx - 9 = 0
∴ sin x = 9
which is not possible
Since -1 ≤ sin x ≤ 1
∴ There is no point of discontinuity