document.write( "Question 317040: If f^-1(x)=3(square root symbol) 2-x, what is f(x)? \n" ); document.write( "
Algebra.Com's Answer #226975 by stanbon(75887)\"\" \"About 
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If f^-1(x)=3(square root symbol) 2-x, what is f(x)?
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\n" ); document.write( "If y = 3sqrt(2-x)
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\n" ); document.write( "Interchange x and y to get:
\n" ); document.write( "x = 3sqrt(2-y)
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\n" ); document.write( "Solve: sqrt(2-y) = x/3
\n" ); document.write( "2-y^2 = (x/3)^2
\n" ); document.write( "y^2 = 2-(x/3)^2
\n" ); document.write( "y = sqrt[2-(x/3)^2]
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\n" ); document.write( "f(x) = sqrt[2-(x/3)^2]
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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