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The function f : (0, oo) rarr [0, oo), f...

The function `f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x)` is

A

One-one and onto

B

One-one but not onto

C

Onto but not one-one

D

Neither one-one nor onto

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
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  7. If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = lo...

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  8. If f : R - {1} rarr R, f(x) = (x-3)/(x+1), then f^(-1) (x) equals

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  10. If f(x) = 2 sinx, g(x) = cos^(2) x, then the value of (f+g)((pi)/(3))

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  14. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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  16. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

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  17. If f : [1, oo) rarr [2, oo) is given by f(x) = x + (1)/(x) then f^(-1)...

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  18. If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)), then f is

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  19. Let '**' be the binary operation defined on the set Z of all integers ...

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