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)= logel2x1l
*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
 Calc and Vectors  Corey is asked to find the maximum value of a function. Not ...
 math  i can figure this out 2+5+6 i try inverse but im still getting it ...
 calculus  I have three questions I'm having a terrible time with: 1)Find, if ...
 math mean value theorem  Hi I am having some trouble with these few quetions I...
 math  is the statement f(x)= f(x) always true, sometimes true or never ...
 College Algebra  Find the inverse of the function below. Graph the function ...
 Discrete Math  Having trouble with this question on my assignment. I got the ...
 Algebra/Math  The graphs of a function f(x)=3x+b and its inverse function f^1(...
 Math (Discrete Math)  Having trouble with this question on my assignment. I got...
 Calculus (limits)  The question is to "state the value of each quantity, if it ...
More Related Questions