Question

Find the domain of the function

f(x) = sin^-1(1/(|x² - 1|) + 1/√(sin²x + sinx + 1)

Answer 1

f is defined for – 1 ≤ 1/(|x² - 1| ≤ 1 and

sin²x + sinx + 1 > 0 is true for every x in R.