Question 12

A function can sometimes reflect on itself, i.e. if y = f(x), then x = f(y). Both of them retain the same structure and form. Which of the following functions has this property?

Solution

Putting y as x and x as y in given options, only options B satisfies the function property as follows.

x = $$\frac{2y+3}{3y-2}$$

or 3xy - 2x = 2y+3

or y(3x-2) = 2x+3

or $$y = \frac{2x+3}{3x-2}$$

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A function can sometimes reflect on itself, i.e. if y = f(x), then x = f(y). Both of them retain the same structure and form. Which of the following functions has this property?

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