document.write( "Question 638456: Show that the inverse of the function x^2 - 4x + 3 is 2 + sqrt(1+x) \n" ); document.write( "
Algebra.Com's Answer #402210 by lwsshak3(11628)\"\" \"About 
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Show that the inverse of the function
\n" ); document.write( "x^2 - 4x + 3 is 2 + sqrt(1+x)
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\n" ); document.write( "y=x^2-4x+3
\n" ); document.write( "to find the inverse, interchange x and y, then solve for y.
\n" ); document.write( "x=y^2-4y+3
\n" ); document.write( "y^2-4y=x-3
\n" ); document.write( "complete the square
\n" ); document.write( "y^2-4y+4=x-3+4
\n" ); document.write( "(y-2)^2=x+1
\n" ); document.write( "y-2=√(x+1)
\n" ); document.write( "y^-1=2+√(1+x)
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