The domain of the function is

MATHEMATICS · Numerical · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The domain of the function

y=\sqrt{\sin x+\cos x}+\sqrt{7x-x^2-6}

\left[p,\frac{q\pi}{4}\right]\cup\left[\frac{r\pi}{4},s\right]

. Find

p+q+r+s