293 views

Consider the function $h: N \times N \rightarrow N$ so that $h(a,b) = (2a +1)2^b - 1$, where $N=\{0,1,2,3,\dots\}$ is the set of natural numbers.

1. Prove that the function $h$ is an injection (one-one).
2. Prove that it is also a Surjection (onto)
edited | 293 views
0
can any body proof the onto part

for every  value of (a,b) there exist value in co-domain set which makes it an onto  function here
0
which makes co-domain = range here hence onto
0
Actually we need to prove it is a bijection or not, right?