document.write( "Question 977706: find the inverse function. a.) f(x)=6-3x, b.)f(x)= 3 square root of x c.)f(x)= x^2+2 \n" ); document.write( "
Algebra.Com's Answer #599247 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Inverse function. \n" ); document.write( "This is how I do them:- \n" ); document.write( "a) f(x) = 6 - 3x \n" ); document.write( "y = 6 - 3x \n" ); document.write( "Change the x for the y and the y for the x:- \n" ); document.write( "x = 6 - 3y \n" ); document.write( "Subtract 6 from both sides \n" ); document.write( "x - 6 = 6 - 6 - 3y \n" ); document.write( "x - 6 = -3y \n" ); document.write( "Multiply both sides by -1 \n" ); document.write( "6 - x = 3y \n" ); document.write( "Divide both sides by 3 \n" ); document.write( "(6 - x)/3 = 3y/3 \n" ); document.write( "y = (6 - x)/3 \n" ); document.write( "................... \n" ); document.write( "b) f(x) = 3 square root x \n" ); document.write( "y = 3 square root x \n" ); document.write( "Change x for y and y for x \n" ); document.write( "x = 3 square root y \n" ); document.write( "Divide both sides by 3 \n" ); document.write( "x/3 = 3 square root y/3 \n" ); document.write( "x/3 = square root y \n" ); document.write( "Square both sides \n" ); document.write( "(x/3)^2 = (square root y)^2 \n" ); document.write( "(x/3)^2 = y \n" ); document.write( "y = (x/3)^2 \n" ); document.write( ".................... \n" ); document.write( "c)f(x) = x^2 + 2 \n" ); document.write( "y = x^2 + 2 \n" ); document.write( "Change x for y and y for x \n" ); document.write( "x = y^2 + 2 \n" ); document.write( "Take 2 off both sides \n" ); document.write( "x - 2 = y^2 + 2 - 2 \n" ); document.write( "x - 2 = y^2 \n" ); document.write( "Square root both sides \n" ); document.write( "Square root(x - 2) = Square root (y^2) \n" ); document.write( "Square root (x - 2) = y \n" ); document.write( "y = Square root (x - 2) \n" ); document.write( "........................... \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |