document.write( "Question 479533: What is f−1 (-4x + 7) if f(x) = 3 – 2x? \n" ); document.write( "
Algebra.Com's Answer #328539 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is f^−1 (-4x + 7) if f(x) = 3 – 2x? \n" ); document.write( "--- \n" ); document.write( "Determine f^-1(x) \n" ); document.write( "---- \n" ); document.write( "Given y = 3-2x \n" ); document.write( "1st: Interchange x and y to get: \n" ); document.write( "x = 3-2y \n" ); document.write( "2nd: Solve for \"y\": \n" ); document.write( "2y = 3-x \n" ); document.write( "f^-1(x) = (-1/2)x + (3/2) \n" ); document.write( "--- \n" ); document.write( "Determine f^-1(-4x+7): \n" ); document.write( "--- \n" ); document.write( "f^-1(-4x+7) = (-1/2)(-4x+7) + (3/2) \n" ); document.write( "= 2x-(7/2)+(3/2) \n" ); document.write( "--- \n" ); document.write( "= 2x - 2 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |