Question

show that [0,1]and [-9,12] are equivalent.​

Answer 1

Step-by-step explanation:

The function g:(0,1]→[0,1] defined by g(1)=0 and g(x)=f(x) if x≠1 is a bijection. This shows that (0,1] is equivalent to [0,1] and, by transitivity, that (0,1) is equivalent to [0,1]. Furthermore, the function g∘f is a one-to-one correspondence between (0,1) and [0,1] that you can describe explicitly.