A function f(x) is said to reflect onitself if, y = f(x) and x = f(y). Which of the following function reflects on itself?  Answers:
A) f(x) = (4x + 3) / (3x - 9) B) f(x) = (4x + 3) / (3x - 2) C) f(x) = (4x + 3) / (3x - 9) D) f(x) = (4x + 3) / (3x - 1) E) f(x) = (4x + 3) / (3x - 4)
(a) f(x) = x = f(y)   y = x = f(y) Hence (a) is true.   (b) f(x) = 2x+1x−22x+1x−2 = y   xy - 2y = 2x + 1   xy - 2x = 1 + 2y   x(y - 2) = 1 + 2y   x = 1+2yy−21+2yy−2 Hence (b) is also true.   Similarly if we check for options (c) &amp; (d), they will also hold true, hence t he answer is option (e).   Answer:f(x) = (4x + 3) / (3x - 4)
<result>E</result>
A function f(x) is said to reflect onitself if, y = f(x) and x = f(y). Which of the following function reflects on itself?