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AP EAMCET201920 Apr 2019Evening ShiftMathematicsFunctionsActual

If f: R- 3 7 R- 3 7 is given by f(x)= 3 x+5 7 x-3 , then the statement which is not true, is

Options

  1. Af⁻¹(x)=f(x)
  2. B(f f)(x)=x
  3. C(f f f)(x)=x
  4. D(f f f f)(x)=x

Correct answer

C. (f f f)(x)=x

Step-by-step solution

Given, function f: R- 3 7 R- 3 7 is define by f(x)= 3 x+5 7 x-3 . Let f(x)=y 3 x+5 7 x-3 =y x= 3 y+5 7 y-3 , so f(x) is a bijective function and f⁻¹(x)=f(x) . (f f)(x)=x and (f f f f)(x)=x But (f f f)(x) x . Hence, option (c) is correct.

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