document.write( "Question 164428: Given f(x)=-sqrt(1-x), determine f^-1(x) \n" ); document.write( "
Algebra.Com's Answer #121150 by padmameesala(42)\"\" \"About 
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let f(x)=y then x=f^-1(y)
\n" ); document.write( "given f(x)= -sqrt(1-x)
\n" ); document.write( "that is y = -sqrt(1-x)
\n" ); document.write( "squaring on both sides we get, y^2 = 1-x
\n" ); document.write( "x = 1-y^2 and x = f^-1(y)
\n" ); document.write( "so f^-1(y) = 1-y^2
\n" ); document.write( "hence f^-1(x) = 1-x^2
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