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The domain of the function f(x) = sqrt(l...

The domain of the function `f(x) = sqrt(log_(10) cos (2pi x))` is

A

All rational number

B

All integers

C

Any real number

D

All irrational numbers

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The correct Answer is:
B
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. The domain of the function f(x) = (x^(2) + 1)/(ln (x^(2) + 1)) is

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  2. The domain of definition of the function f(x) = log(3//2) log(1//2) lo...

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  3. The domain of the function f(x) = sqrt(log(10) cos (2pi x)) is

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  4. Domain of log([x+1]) (x-1) is ( [.] represents greatest integer func...

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  5. Range of the f(x) = (e^(x) - 1)/(e^(x) + 1)

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  6. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

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  7. The domain of the function f(x)=sqrt(x-sqrt(1-x^2)) is

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  8. The range of f(x) = 2+2x +x^(2) is

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  9. The range of the expression 2^(x) + 2^(-x) + 3^(x) + 3^(-x) for x in R...

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  10. Let [], and {} denotes the greatest integer function and fractional fu...

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  11. The range of the function y = f(x) if (34)^(x) + (34)^(y) = 34 equals

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  12. The domain of the function f(x) = (x^(2) -x)/(x^(2) + 2x + 1) is

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  13. Which of the following is a function ?

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  14. Let f(x) = sin^2(x//2) + cos^2(x//2) and g(x) = sec^2x- tan^2x. The tw...

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  15. If f(x) is a polynomial function of the second degree such that, f(-3)...

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  16. Let y=sgn (x), then

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  17. The range of the function defined as f(x) = log(3)((1)/(sqrt([cosx] - ...

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  18. Let R be a relation defined on set A={1, 2, 3,4,5,6,7,8} such that R=...

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  19. Consider two sets A = {a, b}, B = {e, f}. If maximum numbers of relati...

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  20. Consider three sets A = {1, 2, 3}, B = {3, 4, 5, 6}, C = {6, 7, 8, 9}....

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