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October 18th, 2008, 08:12 AM   #1
sel
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help / functions

does anyone help me?

f(x)=4sin^-1(1-x^2)^1/2

what is its range??

and define the inverse of f
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October 19th, 2008, 04:32 AM   #2
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Its range is [0, 2pi].

It doesn't have an inverse unless its domain is restricted.
If the domain is x ? 0, for example, the inverse function is cos(x/4), where 0 ? x ? 2pi.
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October 19th, 2008, 10:07 AM   #3
sel
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Re: help / functions

so what is the answer?
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October 21st, 2008, 03:48 AM   #4
sel
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Re:

Quote:
Originally Posted by skipjack
Its range is [0, 2pi].

It doesn't have an inverse unless its domain is restricted.
If the domain is x ? 0, for example, the inverse function is cos(x/4), where 0 ? x ? 2pi.
let the domain [0,1] so what is its range?
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