Prove multivariable function is surjectiveThe function is f:NN^2 \tightarrow NN

Nicontio1 2022-01-07 Answered

Prove multivariable function is surjective
The function is \(\displaystyle{f}:\mathbb{N}^{{2}}\rightarrow\mathbb{N}\) such that \(\displaystyle{f{{\left({a},{b}\right)}}}={a}^{{b}}\)

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Expert Answer

Jordan Mitchell
Answered 2022-01-08 Author has 2851 answers
Take b=1 and a arbitrary. That shows any a in \(\displaystyle\mathbb{N}\) is hit by your function.
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Matthew Rodriguez
Answered 2022-01-09 Author has 2999 answers
You mean ''surjective'' not ''subjective''
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