Q. 8 Consider given by . Show that is invertible with the
inverse of given by , where is the set of all non-negative
real numbers.
One- one:
Let
f is one-one.
Onto:
Let for ,
for there is such that
f is onto.
Since, f is one-one and onto so it is invertible.
Let by
Now,
Hence, is invertible with the inverse of given by