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April 19, 2014

April 19, 2014

Posted by **Veronica** on Thursday, March 24, 2011 at 2:46pm.

True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer.

True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your answer.

True or False: For any function, x=f^-1, then y=f(x). Explain your answer.

In the lesson, we were taught that for inverses, capitals, F, denote inverse functions, and lowercase, f, denote inverse relations. From the info taught to me, I have these answers:

1 - False (The domains and ranges of inverse trig functions, F, are restricted)

2 - True (Since the function is one-to-one, there is no chance of the original function going over the allowable domain of the inverse)

3 - I believe that this is true, since x = f^-1(y) is a relation (lowercase).

- Trigonometry -
**Veronica**, Thursday, March 24, 2011 at 2:53pmI wanted to make a bit of a correction, for my third answer, the x = f^-1(y) is specified as a function (as seen above). But wouldn't this still be true?

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