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If the function R to R is defined by f(x...

If the function `R to R` is defined by `f(x)=(x^2+1)^(35)AA in R ` then f is

A

one-one but not onto

B

onto but not one-one

C

neither one-one nor onto

D

both one-one and onto

Text Solution

Verified by Experts

The correct Answer is:
C
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MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
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  12. Let f(x)=x(1)/(x-1)+(1)/(x)+(1)/(x+1) x lt 1 then

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  13. We define a binary relationon ~ on the set of all 3 xx 3 real matrices...

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  15. Let X(n)={Z=x+iy:|zA^(2)le(1)/(n)} for all integers n le 1 then unde...

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  16. Let f: N -> R be such that f(1) = 1 and f(1) + 2f(2) + 3f(3) + nf(n), ...

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  17. On set A= {1,2,3}, relation R and S are given by R={(1,1),(2,2),(3,3)...

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  18. Let R be a relation defined on the set of natural numbers N as R={(...

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