Attachment 27506

Need a lot of help with these questions. Any explanation or input would be great!

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- Mar 12th 2013, 06:25 PMcalmo11Inverse function and domain and ranges
Attachment 27506

Need a lot of help with these questions. Any explanation or input would be great! - Mar 12th 2013, 07:52 PMShakarriRe: Inverse function and domain and ranges
a) The function is not defined when the denominator is 0, find the values of x for which the denominator is not zero. That is the domain.

Consider what happens to the value of the function when x tends toward the limits in the domain (Hint the range is (0,1/2) )

b) If f is not one-to-one then there are two different values a and b such that f(a)=f(b)

Put a and b into your equation and either prove that f(a) can't equal f(b) or find the values of a and b so that f(a)=f(b)

c) Solve your equation so that you have x on its own equal to a function of y, then switch the places of the x's and y's to find the inverse function as a function of x

d) The inverse function involves a log. Remember that for $\displaystyle log(\frac{m}{n}) $ to be defined $\displaystyle \frac{m}{n}$ must be greater than zero and n cannot equal zero.

Note to anyone else posting advice, you might have been taught a 'one-to-one' function as an 'injective' function.