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Let f : R to R be defined as f (x) =10 x...

Let `f : R to R` be defined as `f (x) =10 x +7.` Find the function `g : R to R` such that `g o f =f 0 g= I _(R).`

Text Solution

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The correct Answer is:
`g (y) = (y-7)/(10)`
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Knowledge Check

  • Let the function f: R to R be defined by f(x) = 2x + sinx for x in R , then f is

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    D
    neither one-one nor onto

  • If f: R to R is defined by f(x) =x-[x] , then the inverse function f^(-1)(x) =

    A
    `1/(x-[x])`
    B
    `[x]=x`
    C
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    D
    not defined

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