Homework Help: inverse function question

Posted by elle on Thursday, November 8, 2007 at 4:47am.

Hey, I'm having trouble fully understanding absolute value graphs and I've been asked find the largest value of a so that f^-1 exists for the function:
f: (-efinity,a) --> R where f(x)= logel2x-1l

*note: i have used 'l' to represent the straight line indicating the it is an absolute value...

I know the answer is a=1/2 but i have no clue how to get that answer... Any help would be much appreciated :)

inverse function question - drwls, Thursday, November 8, 2007 at 7:50am
There is no such thing as the log of a negative number or zero. Because of the absolute value in the definition of f(x), the only value of x for which f(x) is not defined is x = 1/2.

An inverse function of f(x) can be defined for all x, but there will be two values of f^-1(x) for each x , since two different x values, symmetric about a=1/2, give the same f(x)

I don't know what you mean by
f: (-efinity,a) --> R

Answer this Question

Related Questions

math - i can figure this out -2+|-5+6| i try inverse but im still getting it ...
Math - I'm having trouble on the 2nd part of the question below. The value ...
math- mean value theorem - Hi I am having some trouble with these few quetions I...
calculus - I have three questions I'm having a terrible time with: 1)Find, ...
math, help - For the following set, which number has the largest absolute value...
Math - How to find the exact value of tan(sin^-1x/2) I'm having trouble with...
math - HI, I am having trouble working this problem. This is the question: Two ...
Maths - Recipricals - I'm having some torubles understanding these question...
Algebra - How do you get the vertex of this absolute value? y = -2 |4x - 1| + 16...
math - Find the absolute maximum value and the absolute minimum value, if any, ...

For Further Reading

First Name:
School Subject:
Answer: