document.write( "Question 51040: If f(x) = (x - 2)^1/3, then f^-1(x) =\r
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document.write( " a. (x3 + 1)/2
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document.write( " b. (x3 - 1)/2
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document.write( " c. (x3 + 2)/2
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document.write( " d. (x3 - 2)/2
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document.write( " e. x3 - 2
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document.write( " f. x3 + 2
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document.write( " g. none of these \n" );
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Algebra.Com's Answer #34010 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! f(x) = (x - 2)^1/3, then f^-1(x) =? \n" ); document.write( "---------------- \n" ); document.write( "y=(x-2)^(1/3) \n" ); document.write( "Interchange x and y to get: \n" ); document.write( "x=(y-2)^(1/3) \n" ); document.write( "Solve for y as follows: \n" ); document.write( "Raise both sides to the 3rd power to get: \n" ); document.write( "x^3=y-2 \n" ); document.write( "y=x^3+2 \n" ); document.write( "That is the inverse function. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |