document.write( "Question 1026596: Could someone please check my work? \"Find the inverse of f(x)=sqrt x-h. Identify the domain and the range of the inverse.\" I think I did the problem correctly, and got y=x^2+ h, then f^-1(x)=x^2 + h for the inverse? The domain and range I'm not sure about. Domain of inverse= (0, infinity). Range of inverse=(h, infinity). It also seems like I should write the domain and range with a less than or equal to sign or something? I appreciate any help and thank you for your time! \n" ); document.write( "
Algebra.Com's Answer #641847 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \"Find the inverse of f(x)=sqrt(x-h). Identify the domain and the range of the inverse.\" \n" ); document.write( "--- \n" ); document.write( "y = sqrt(x-h) \n" ); document.write( "Domain:: x >= h \n" ); document.write( "Range:: All Real Numbers >= 0\r \n" ); document.write( "\n" ); document.write( "---- \n" ); document.write( "1st:: Interchange x and y:: \n" ); document.write( "x = sqrt(y-h) \n" ); document.write( "2nd:: Solve for \"y\":: \n" ); document.write( "y-h = x^2 \n" ); document.write( "y = x^2+h \n" ); document.write( "----------------------- \n" ); document.write( "Domain of inverse:: All Real Numbers >= 0 \n" ); document.write( "Range:: y >= h \n" ); document.write( "----------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " \n" ); document.write( " |