Level 581 Level 583
Level 582

Restrictions for Inverse Functions


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[-π/2, π/2]
inverse sin
[-π/2, π/2]
inverse tan
(0, π]
inverse cot
[0, π]
inverse cos
inverse csc
[-π/2, 0) (0, π/2]
inverse sec
[0, π/2) (π/2, π]
ARCSIN
Domain (x): [-1,1]
ARCCOS
Domain (x): [-1,1]
ARCTAN
Domain (x): All Real Numbers
ARCSEC
Domain (x): All Real Numbers, |x| ≥ 1
ARCCSC
Domain (x): All Real Numbers, |x| ≥ 1
function
Also known as Relation, or a set of ordered pairs.
one-to-one function
A function where each element of the range is paired with exactly one element of the domain.
Many-to-One Function
A function where each element of the range is paired with multiple elements of the domain. There are multiple X values for every Y value.
When can you tell that a function is a one-to-one function?
When the inverse, when put into the function is equal to the original value. [f(I)=x or f(f-1(x)=x
How do you find the inverse function?
Just treat the function as y, then isolate the x variable to find the function.