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Find the range of the function f(x)=1/(1...

Find the range of the function `f(x)=1/(1-3cosx)`

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The correct Answer is:
`(-oo,-1/2]uu[1/4,oo)`
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NCERT TAMIL-SETS, RELATIONS AND FUNCTIONS-EXERCISE 1.5
  1. Find the range of the function f(x)=1/(1-3cosx)

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  2. If A={(x,y):y=e^(x),x in R} and B={(x,y),:y=e^(-x),x in R} then n(AnnB...

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  3. If A={(x,y):y=sinx,x in R} and B={(x,y):y=cos x, x in R} then AnnB con...

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  4. The relation R defined on a set A={0,-1,1,2} by x Ry if |x^(2)+y^(2)|l...

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  5. If f(x)=|x-2|+|x+2|, x in R then

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  6. Let RR be the set of all real numbers. Consider the following subsets ...

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  7. Let A and B be subsets of the universal set NN, the set of natural num...

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  8. The number of students who take both the subjects Mathematics and Chem...

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  9. If n((AxxB)nn(AxxC))=8 and n(BnnC)=2 then n(A) is

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  10. If n(A)=2 and n(BuuC)=3 then n[(AxxB)uu(AxxC)] is

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  11. If two sets A and B have 17 elements in common, then the number of el...

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  12. For non empty set A and B if AsubB then (AxxB)nn(BxxA) is equal to

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  13. The number of relations on a set containing 3 elements is

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  14. Let R be the universal relation on a set X with more than one element....

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  15. Let X={1,2,3,4} and R={(1,1),(1,2),(1,3),(2,2),(3,3),(2,1),(3,1),(1,4)...

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  16. The range of the function 1/(1-sin x) is

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  17. The range of the function f(x)=| |(x)-x|,x in RR is

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  18. The rule f(x)=x^(2) is a bijectionif the domain and the co domain are ...

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  19. The number of constant functions from a set containing m elements to a...

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  20. The function f:[0,2pi]to[-1,1] defined by f(x)=sin x is

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  21. If the function f:[-3,3] to S definced by f(x)=x^(2) is onto then S is

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