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)\"\" \"About 
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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( "
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