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KCET2016MathematicsFunctions

Let ( f: R R ) be defined by ( f(x)=2 x+6 ) which is a bijective mapping then ( f⁻¹(x) ) is given by

Options

  1. A( x 2 -3 )
  2. B( 2 x+6 )
  3. C( x-3 )
  4. D( 6 x+2 )

Correct answer

A. ( x 2 -3 )

Step-by-step solution

Given that f(x)=2 x+6, f: R R Let y=2 x+6 then, 2 x=y-6 x= y-6 2 Now, y= x-6 2 = x 2 -3 Therefore, f⁻¹(x)= x 2 -3

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