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Let f: R ->Rbe defined as f(x) = 10 x +...

Let `f: R ->R`be defined as `f(x) = 10 x + 7`. Find the function `g: R ->R`such that`gof=fog=1_R`

Answer

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Let f:R rarr R be defined as f(x)=10x+7 Find the function g:R rarr R such that gof=fog=I_(R)

Let f:R rarr R be defined as f(x)=10x+7 Find the function such that gof=fog=1_(R)

Knowledge Check

  • The function f: R to R defined by f(x) = 4x + 7 is

    A
    one-one
    B
    onto
    C
    into
    D
    bijective

  • Let function f : R to R be defined by f (x) = 2x + sin x for x in R Then f is

    A
    one-to-one and onto
    B
    one-to-one but NOT onto
    C
    onto but NOT one-to-one
    D
    neither one-to-one nor onto

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