Question

Помогите!!! Найдите область значений функции
y=3/4π*arcsin(2−3x/5).

Answer 1

$-frac{pi}{2}leq arcsin(2-frac{3x}{5})leq frac{pi}{2}\\-frac{pi}{2}cdot frac{3}{4pi }leq frac{3}{4pi }arcsin(2-frac{3x}{5})leq frac{pi}{2}cdot frac{3}{4pi }\\-frac{3}{8}leq frac{3}{4pi }arcsin(2-frac{3x}{5})leq frac{3}{8}$

$frac{3}{4pi }arcsin(2-frac{3x}{5})in [, -frac{3}{8}, ;, frac{3}{8}; ]$