IGCSE: SPM: Add Math: Function: 01 Inverse Function
 Given thatf -1f (2) =(11) = 2 Given thatf -1f (-1) =(2) = -1 Given thatf (8) =-7f -1(     ) = 8 the inverse is sinceGiven thatf -1f (11) =f -1(x) = 2x + 5(3) = hence the inverse issinceGiven thatf -1f -1f (9) =(x) = 2x + 5(    ) =9 andGiven thatsincef (-4) =-3f -1f -1f(x) = ax + 5(-3) =(-4) = -3finda ? thereforeandGiven thatsincef (-4) =-3a(    ) + 5 = -4f -1f -1(x) = ax + 5f(-3) = -4(-4) = -3a=finda ? thereforeandGiven thatsincef (6) =2b( 2   ) -2 = 6f -1f -1(x) = bx - 2f(2) = 6(6) = 2b=findb ? andGiven thatf (-5) =-1f -1g=(x) = gx - 3findg ? andGiven thatf -1(15) =2f k=(x) = 5-kx findk ? findLet y=Given thatthereforef -1(7) x=f 5-2x(x) = 5-2x A.B.C.Choose  the correct answerA.B.5-yy-522C.5-2y findLet y=f -1Given thatso(x)=f -1(7) f 5-2x5-x(x) = 5-2x 2therefore=f -1(7) findLet y=Given thatthereforef -1(-6) x=f 7x+1(x) = 7x +1A.B.CChoose  the correct answerA.B.1-yy-771C.y-17 Given thatfindf -1(-6) f -1(x) f -1(-6) f (x) = 7x +1==- Given thatfindf -1(5) f -1(x) f -1(5) f (x) = 4x -3== Given thatfindf -1(5) f -1(5) f (x) = 2x -7= Given thatfindf -1(-4) gg -1(-4) (x) = 3 -7x= Given thatfindg(7) g=(7) ?g -1(-4) =7 Given thatfindh -1(-4) h -1(-4) =h(x) = 3-2x2 hGiven that(x) = h -1(-2) x+13find=;xh -1(-2) ≠-1
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