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Let f:N->N be defined by f(x)=x^2+x+1,...

Let `f:N->N` be defined by `f(x)=x^2+x+1,x in N`. Then `f(x)` is

A

one-one onto

B

many one onto

C

one-one but not onto

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

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  2. Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

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  3. Let f:N->N be defined by f(x)=x^2+x+1,x in N. Then f(x) is

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  4. Let A={-1 le x le 1} and f:A to A such that f(x)=x|x| then f is:

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  5. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

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  6. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

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  7. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

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  8. Which of the following functions is the inverse of itself? (a) f(x)=(1...

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  9. If f(x) =(x-1)/(x+1)," then f(2x) is:"

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  10. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  11. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

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  12. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

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  13. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  14. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  15. Which of the following functions is not an are not an injective map(s)...

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  16. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

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  17. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

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  18. about to only mathematics

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  19. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

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  20. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

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