document.write( "Question 681776: For the function f(x) represented as y=x^2-4.
\n" );
document.write( "A) How do I write the equation defining the inverse of f(x)
\n" );
document.write( "B) How do I sketch the graphs of f and its inverse relation on the same axes?
\n" );
document.write( "C) How do I state whether the inverse relation is a function?
\n" );
document.write( "I am working on this at this moment and help is highly appreciated.
\n" );
document.write( "Thank You \n" );
document.write( "
Algebra.Com's Answer #422785 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! For the function f(x) represented as y=x^2-4. \n" ); document.write( "A) How do I write the equation defining the inverse of f(x) \n" ); document.write( "1st: Interchange x and y to get: \n" ); document.write( "x = y^2-4 \n" ); document.write( "2nd: Solve for \"y\": \n" ); document.write( "y^2 = x+4 \n" ); document.write( "y = +-sqrt(x+4) \n" ); document.write( "------------------------------- \n" ); document.write( "B) How do I sketch the graphs of f and its inverse relation on the same axes? \n" ); document.write( " \n" ); document.write( "------------------------------------------------------ \n" ); document.write( "C) How do I state whether the inverse relation is a function? \n" ); document.write( "It is not because there are x values in the domain of f^-1(x) that \n" ); document.write( "have 2 associated y-values. \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |