Hi, does anyone how to solve the following problems:
In each of the following cases, determine if the given function is bijective. If the function is bijective, find its inverse.
(a) The function f : R -> R defined by f(x) = 2x-3
(b) The function f : Z -> Z defined by f(x) = 2x-3
I don't really know what's the difference between (a) and (b).
I've done part (a), anything wrong?
Let yER, then if xER, then
y is the image of x under f <=> f(x)=y
so each yER is the image under f of a unique image of xER.
Therefore, f is bijective and has an inverse (y+3)/2
Thanks very much!!!! :D