12th Class Mathematics Relations and Functions

  • question_answer 38)
    Consider f : R+  given by f(x) = 9x2 + 6x ?5. Show that f is invertible with  

    Answer:

    Given f(x) = 9x2 + 6x ? 5, Df = R+       Injectivity : Let x1, x2 be any two elements of R+ such that f(x1) = f(x2)                                                       Surjective : Let y be any element of [?5, ) then       y = f(x)                         Since , therefore  is not possible.                    co-domain        is onto.        is both one-one and onto.        exists.       To find inverse of f :                                


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