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Consider the following statement: I If f...

Consider the following statement: I If `f(x)=x^(3)` and `g(y)=y^(3)` then f=g
2. Identity function is not always a bijection Which of the following statements is/are true

A

a) 1 only

B

b) 2 only

C

c) both I and 2

D

d) Neither I nor 2

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The correct Answer is:
C
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PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

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  2. Let f(x) = ax + b and g(x)= cx+ d. Then f (g(x)) = g (fex) is equivale...

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  3. The average of all the non negative integers upto 99 is:

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  4. If f be a function from the set of natural numbers to the set of even ...

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  5. What is the range of the function f(x)=(|x|)/(x), x ne 0?

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  6. Let N be the set of natural numbers and f: N rarr N be a function give...

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  7. If f.R rarrR be a function whose inverse is (x+5)/(3) what is the val...

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  8. Consider the following statement: I If f(x)=x^(3) and g(y)=y^(3) then...

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  9. IF 6 le x le 8 then which one of the following is correct

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  10. If f(xy) = f(x)f(y), then f(t) may be of the form

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  11. Which of the following statements is correct?

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  12. What is the range of f(x) = cos2x-sin2x ?

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  13. Consider the following statements I Every function has a primitive II ...

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  14. f(x) = (x+3)^(2) , then what is the value of f(-3)?

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  15. If x^(log(7)x)gt7 where x gt 0. Then which one of the following is cor...

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  16. {:(List-I,List-II),((I) psi^(2)"depends upon upon distance",(a)"p-orbi...

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  17. Each item under List I is associated with one or more items under List...

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  18. Each item under List I is associated with one or more items under List...

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  19. A mapping f: R rarr R which is defined as f(x) = cos x: x in R is:

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  20. Let R rarr R be a function defined as f(x) = |x| for each x in R . - ...

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