Find f(x) Function: What is a One-to-One Function?

[furi0n]

i have seen it before and i coudn't answer.
if F is function such that fog=I(one to one function) for some g function but hof=I isn't true for h is some functıon then Find F(x) function.
if solve this problem, please give me some link which explains what One to one function is maybe ı don't know exactly this function style. I'm waiting for your answer thanks..

 

[issacnewton]

please read about functions here

http://tutorial.math.lamar.edu/Classes/CalcI/Functions.aspx

once you get good understanding of functions, you can answer the question

 

[tiny-tim]

hi furi0n!

"one-to-one" means that it doesn't repeat … f(a) is not the same as f(b) unless a = b

(so, for example, x² would be a two-to-one function, except at x = 0, because x² = (-x)² )

 

[furi0n]

hmmm :)
so, if F(x)= 3x+2 g(x)=x/3-2/3 then Fog=I and if H(x)=x^2 then hof=I isn't true.
excuse me to ask this question but now I'm new student and i want to learn what i don't know. thank you everybody.:)

 

[tiny-tim]

so, if F(x)= 3x+2 g(x)=x/3-2/3 then Fog=I and if H(x)=x^2 then hof=I isn't true.

Yes, if h(x) = x², and if h and f are defined on the whole real line, then there's no f such that f_°h = I or h_°f = I.

 

[furi0n]

thanks a lot