document.write( "Question 52059: I need help with finding the inverse of:\r
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document.write( "f(x)-2x+7 \n" );
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Algebra.Com's Answer #34720 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! f(x)= -2x+7 \n" ); document.write( "x=-2y+7 [Switch x an y] \n" ); document.write( "x-7=-2y [Solve for y] \n" ); document.write( "(x-7)/-2=y \n" ); document.write( "So, f^-1(x) = (x-7)/-2 \n" ); document.write( ". \n" ); document.write( "Checking by using (f of f^-1)=x \n" ); document.write( "f(x)= -2x+7 \n" ); document.write( "(f of f^-1) = -2((x-7)/-2)+7 \n" ); document.write( "(x-7)+7 \n" ); document.write( "x \n" ); document.write( ". \n" ); document.write( "Also, checking by using (f^-1 of f)=x \n" ); document.write( "(f^-1 of f) = ((-2x+7)-7)/-2 \n" ); document.write( "-2x/-2 \n" ); document.write( "x [Both functions check out] \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |