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If A = {1, 2, 3, 4} and f: A to R is a f...

If `A = {1, 2, 3, 4} and f: A to R` is a function defined by `f(x) = (x^(2) -x+1)/(x+1)` then find the range of f.

Text Solution

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The correct Answer is:
(i) `{1/2, 1,7/4, 13/5}`, (ii) `{1,sqrt(3)/2, 1/sqrt(2), 0,1/2}`
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Knowledge Check

  • Let f: R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

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  • If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

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    `3x^(2) + 2x +2`
    B
    `9x^(2)+ 6x - 4`
    C
    `2x+2`
    D
    `x^(2) + 6x + 9`

  • If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

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    B
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    C
    not one-one but onto
    D
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