y = (9 - x²)^(-1/5) = 1 / ⁵√(9 - x²)
знаменатель не равен 0
9 - x² ≠ 0
x² ≠ 9
x ≠ ± 3
x ∈ (-∞,-3) U (-3, 3) U (3, +∞)
. . . . . . . . . . . . °. . . . . . . . . . . . . °. . . . . . . . . . . . . . . .
(-3) (3)
======
√f(x) < g(x) ⇔ f(x) ≥ 0 g(x) > 0 f(x) < g²(x)
√(x + 8 ) < x + 2
x + 8 ≥ 0 x ≥ -8
x + 2 > 0 x > -2
x + 8 < (x + 2)²
x + 8 < x² + 4x + 4
x² + 3x - 4 < 0
(x + 4)(x - 1) < 0
+++++++++(-4) ------------ (1) +++++++++
x ∈ (-4, 1)
--------[-8]//////////////////////////////////////
-----------------------(-2)//////////////////////
x ∈ (-2, 1)