document.write( "Question 1000011: Hello, I don't understand one-to-one functions. They are supposed to be solved algebraically.
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document.write( "Q: Let f be a one-to-one function and suppose g is the inverse function of f. If f(8)=6 and f(1)=8, find g(8).
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document.write( "There isn't a equation for me to plug anything in so how would I solve it? Thanks for the help! \n" );
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Algebra.Com's Answer #617894 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Q: Let f be a one-to-one function and suppose g is the inverse function of f. If f(8)=6 and f(1)=8, find g(8). \n" ); document.write( "----- \n" ); document.write( "Note: Every line that is not perpendicular to or parallel to the \n" ); document.write( "x=axis is one-to-one. \n" ); document.write( "----- \n" ); document.write( "You have two points for \"f\": (8,6) and (1,8) \n" ); document.write( "Therefore you have two points for the inverse of \"f\":: (6,8) and (8,1) \n" ); document.write( "----- \n" ); document.write( "slope of g :: (1-8)/(8-6) = -7/2 \n" ); document.write( "----- \n" ); document.write( "Form:: \n" ); document.write( "y = mx + b \n" ); document.write( "Solve for \"b\":: \n" ); document.write( "1 = (-7/2)8 + b \n" ); document.write( "b = 1 + 28 \n" ); document.write( "b = 29 \n" ); document.write( "----- \n" ); document.write( "Ans: g(x) = (-7/2)x + 29 \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------- \n" ); document.write( " |