What is the value of (f o f^-1)(50)?

[sweetliljenny]

Is this correct?

What is the value of (f o f^-1)(50)?

(f o f^-1)(x) = x
(f o f^-1)(50) = 50

 

[stapel]

Are we told anything about f and its inverse? Is each a function...? Is f one-to-one? Is f^-1 also a function?

Thank you.

Eliz.

 

[sweetliljenny]

isnt (f o f^-1)(x) = x a formula

so say i had (f o f^-1)(100) = 100

 

[stapel]

isnt (f o f^-1)(x) = x a formula

It is a property of invertible functions. But we haven't been told anything about f, so we don't know if it is a function here, let alone whether or not it might be invertible.

Eliz.