solving function

[jorge0011]

i need to solve this equation but i'm getting confused. any help is appreciated.

 

[pka]

i need to solve this equation but i'm getting confused. any help is appreciated.View attachment 19758

Just one step: Is it true that \(g(1)=g(-1)~?\) Can it be a bijection?

 

[jorge0011]

i have just done this chapter, so i'm a bit confused. Can you elaborate?

 

[pka]

i have just done this chapter, so i'm a bit confused. Can you elaborate?

What do YOU mean by elaborate?
Can you tell us what \(g(-3)~\&~g(3)~=\)
Can you tell us what a bijection is?
What do injective and surjective each mean?

 

[Steven G]

What does it mean for a function to be injective?
pka gave you an amazing hint.

Math is a game and to play the game you need to know the rules. In this case the rules are the definitions.

Can you please explain what part of the definition for injection and bijection you do not understand? If you do then we can help you understand these concepts better.

Did you notice that the denominator is 1 larger than the numerator. What does that say about bijection?