Hi all, can someone please give description about the use of composite and inverse functions with examples...? any help will be appreciated
I like to think of composit functions as one function inside another.
Consider and then is a composite function
For an inverse function, think about what the inverse of an operation is. If I square something the inverse operation is a square root. Therefore when thinking about functions i.e. then the inverse is
"Square" and "square root" are not good examples here. For example, if x= -2, then and then , not -2. That's because [itex]f(x)= x^2[/itex] is not "one-to-one"- both and give four- so it does not have a true "inverse". A better example would be "cube" and "cube root". For any real number x, .