If y = f (x) = (ax – b) / (bx – a), show that x = f (y).

If y = f (x) =\( \dfrac{(ax – b) }{ (bx – a)}\), show that x = f (y).

Asked by Sakshi | 1 year ago |  69
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1 Answer

Solution :-

Let us prove that x = f (y).

We have,

y = \(\dfrac{ (ax – b) }{ (bx – a)}\)

By cross-multiplying,

y(bx – a) = ax – b

bxy – ay = ax – b

bxy – ax = ay – b

x(by – a) = ay – b

x = (ay – b) / (by – a) = f (y)

x = f (y)

Hence proved.

Answered by Sakshi | 1 year ago
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