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Let f(x)=(1)/(1+|x|); x in R the range o...

Let `f(x)=(1)/(1+|x|)`; `x in R` the range of `f` is

A

a null set

B

a set consisting of only one element

C

a set consisting of two element

D

a set consisting of infinitely many elements

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The correct Answer is:
C
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PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. Find the derivatives of the following (1-3) functions : f(x) = x+a

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  2. If f(x) =(4x+x^(4))/(1+4x^(3)) and g(x) = In (1+x)/(1-x) t then what...

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  3. Let f(x)=(1)/(1+|x|); x in R the range of f is

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  4. The function f N rarr N. where N being the set of natural numbers, def...

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  5. If f(x)=(x-1)/(x+1), then find f{f(x)}

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  6. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

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  7. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

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

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

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

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

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

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

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

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

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

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  17. Which of the following statements is correct?

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

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

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

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