document.write( "Question 317040: If f^-1(x)=3(square root symbol) 2-x, what is f(x)? \n" ); document.write( "
Algebra.Com's Answer #226975 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If f^-1(x)=3(square root symbol) 2-x, what is f(x)? \n" ); document.write( "------ \n" ); document.write( "If y = 3sqrt(2-x) \n" ); document.write( "--- \n" ); document.write( "Interchange x and y to get: \n" ); document.write( "x = 3sqrt(2-y) \n" ); document.write( "--- \n" ); document.write( "Solve: sqrt(2-y) = x/3 \n" ); document.write( "2-y^2 = (x/3)^2 \n" ); document.write( "y^2 = 2-(x/3)^2 \n" ); document.write( "y = sqrt[2-(x/3)^2] \n" ); document.write( "================ \n" ); document.write( "f(x) = sqrt[2-(x/3)^2] \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |