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Which of the following functions is inje...

Which of the following functions is injective ?

A

`f(x)=x^(2)+3, x in (-oo, oo)`

B

`f(x)=|x+1|, x in [2, oo)`

C

`f(x)=(x-4)(x-5), x in (oo, 5]`

D

`f(x)=(4x^(2)+3x-5)/(4+3x+5x^(2)), x in (-oo, oo)`

Text Solution

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The correct Answer is:
B
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Which of the following functions is an injective (one-one) function in its respective domain? (A) f(x) = 2x + sin 3x (B) x. [x] , (where [.] denotes the G.I.F) (C) f(x)=(2^x-1)/(4^x+1) (D) f(x)=(2^x+1)/(4^x-1)

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Knowledge Check

  • Which of the following functions is equivalent to thte function above ?

    A
    `f (x) = (x-5) ^(2)`
    B
    `f (x) = x ^(2) + 10.28x + 5.42`
    C
    `f (x) = 0.61x ^(2) + 0.14x +25`
    D
    `f (x) =1.3 (x -3)^(2) =0.69x ^(2) + 0.14x +9.79`
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