12th Class Mathematics Relations and Functions

  • question_answer 36)
    Consider f : R  R given by f(x) = 4x +| 3. Show that f is invertible. Find the inverse of f.  

    Answer:

    Given f(x) = 4x + 3, Df = Injectivity : Let x1, x2 be any two elements of R                    is one-one. Surjectivity: Let then y = f(x)                    Corresponding to each element y of R, there exists a unique element  of R such that        is onto.        is one-one and onto function.        exists. To find inverse of f :              


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