document.write( "Question 978092: The one to one function f is defined on the domain x>0 by f(x) = (2x-1)/(x+2).
\n" ); document.write( "A) State the range, A, of f.
\n" ); document.write( "B) Obtain an expression for f^-1 (x) for x∈A.\r
\n" ); document.write( "\n" ); document.write( "I'm sorry for the two part question, but I'm really confused as to what A is.
\n" ); document.write( "

Algebra.Com's Answer #599576 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
This \"A\" seems too much a mystery, and not common label for any typical set of numbers. The best you can do is to find the range of f(x); find the inverse, f^(-1)(x), and determine the range for this inverse.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The critical x values are x at 1/2 and at -2. f is undefined at x=-2, but domain is therefore all the rest of the real numbers. The RANGE for f^(-1) will be all real numbers such that \"x%3C%3E-2\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use the interval testing for range of f, but here is the graph to help:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The first function, f(x):
\n" ); document.write( "\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%282x-1%29%2F%28x%2B2%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice both a horizontal and a vertical asymptotes.
\n" ); document.write( "
\n" );