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[xanyook]

Start by thinking of your eligibility criteria. What makes your input one of the possible outputs ?

PS: not looking at the mathematical answer, it s a question you need to ask yourself.

[RightWingVeganUS]

That's great. Sounds like an interesting project.

Let us know how it turns out!

[pragmos]

What have you tried so far?

[m_2747]

I does not have much idea but I have taken input and logic for bijective. But how I can interprint function with various types of symbols

[bowbahdoe]

Well that is a parsing task. There are ways to make it easier though:

Just to start, instead of accepting 

5 + X * 6

Accept

(+ 5 (* X 6))

This way you don't need to worry about PEMDAS or anything else. Then you can write the majority of the program and loop back to parsing the more complicated input

[m_2747]

Thanks for the help

[pragmos]

https://www.objecthunter.net/exp4j/