Calculus, check my answers, please! 3

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Did I get these practice questions right?

1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true?

***The function f has an inverse f –1 that is even.
The function f has an inverse f –1, but we can't tell whether it's even or odd.
The function f has an inverse f –1, but we can't tell whether it's even or odd.
f –1 is not a function.
We can't tell whether or not f has an inverse.


2. Suppose that f is an odd function whose domain is the set of all real numbers. Then which of the following can we claim to be true?
(Points : 1)
The function f has an inverse f –1 that is even.
***The function f has an inverse f –1 that is odd.
The function f has an inverse f –1, but we can't tell whether it's even or odd.
The function f does not have an inverse.
We can't tell whether f has an inverse that's still a function.

  • Calculus, check my answers, please! 3 -

    #1. f^-1 is not a function
    Think of y = x^2
    every value of y has two values of x.

    #2 correct

  • Calculus, check my answers, please! 3 -

    Hmm... Okay! I see how that works now! :) Thank you so much! I'll be posting a few more problems and would appreciate if you could help with those, too!

  • Calculus, check my answers, please! 3 -

    #1 F^-1 is not a function
    #2 we can't tell that bla bla

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