I understand the basic stuff but with this shit I am completely confused.
....< 0,5x+1, x>=0
y=<
....< 2x+1, x<0
Ignore the dots.
How do you got with this? Just take each function separately and find the inverse function? If so then it was the same as these except with "-" instead of "+"
An invertible function is a function that can be inverted. An invertible function must satisfy the condition that each element in the domain corresponds to one distinct element that no other element in the domain corresponds to. That is, all of the elements in the domain and range are paired-up in monogomous relationships - each element in the domain pairs to only one element in the range and each element in the range pairs to only one element in the domain. Thus, the inverse of a function is a function that looks at this relationship from the other viewpoint. So, for all elements a in the domain of f(x), the inverse of f(x) (notation: f-1(x)) satisfies:
f(a)=b implies f-1(b)=a
And, if you do the slightest bit of manipulation, you find that:
f-1(f(a))=a
Yielding the identity function for all inputs in the domain.
When we graph functions and their inverses, we find that they mirror along the line x=y. This is only logical. From our definition, we know that for each (a,b) in f(x) there will be a (b,a) in f-1(x):
Inverse functions
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