2x +313) Ifs()3x-23x-2prove that fof is identity function.

1.	2x +313) Ifs()3x-23x-2prove that fof is identity function.
Answer» Given, f(x) = 2x-3 / 3x-2 y =2x-3/ 3x-2 To find out f(y), substitute the value of y in f(x).f(y) = [2 (2x-3 / 3x-2) -3] / [3 (2x-3/3x-2) -2] = [2(2x-3) -3(3x-2)] / [3(2x-3) -2(3x-2)] = [4x - 6 - 9x + 6] / [6x -9 - 6x + 4] = [-5x] / [-5] = xhence fof is X an identity function.

Answer»

Given, f(x) = 2x-3 / 3x-2 y =2x-3/ 3x-2

To find out f(y), substitute the value of y in f(x).f(y) = [2 (2x-3 / 3x-2) -3] / [3 (2x-3/3x-2) -2] = [2(2x-3) -3(3x-2)] / [3(2x-3) -2(3x-2)] = [4x - 6 - 9x + 6] / [6x -9 - 6x + 4] = [-5x] / [-5] = xhence fof is X an identity function.

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2x +313) Ifs()3x-23x-2prove that fof is identity function.

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