(, , ) . - "" . .
y = arcsin(x).
:
y = arcsin(x).
: .
y = arcsin(x): .
- , .
y = arcsin(x) , , .
, .
(0; 0), .
.
y = arccos(x).
:
y = arccos(x).
: .
y = arccos(x): .
, , .
, , .
, .
.
.
y = arctg(x).
:
y = arctg(x).
y = arctg(x): .
: .
- , .
, , .
, .
(0; 0), .
. .
y = arcctg(x).
:
y = arcctg(x).
: .
y = arcctg(x): .
, , .
, , .
, .
.
( ) y = 0 .
y u, . . = f (u), u U, u, , - , . u = g (x), , ( ) x Y = f (u), u = g (x), y = f [ g (x)].
- X, g (x) , , u y = f (u).
3. . y = √ u u = x 2 − 2 x − 3.
u = x 2 − 2 x − 3 , . . x R. y = f (x) , x 2 − 2 x − 3 ≥ 0, ≤ − 1 ≥ 3. , D = (− ∞, 1] [3, + ∞). [− 1, 3] .
, = f [ g (x)] : = f (u), u = g (x). u .
|
|
f (x, y) = 0, , x.
= f (), D (f) (f). , , E(f) D (f), f ().
= f () . , : = g ().
g f, f g, . . - -.
= f () = f () = g () ( ), , - .
, − , , = f (), = g (). = g () = f () = − I III .
-
D (f) = E (g), E (f)= D (g),
. . , .