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Find the domain of the function y = (x)/...

Find the domain of the function `y = (x)/(1-x^(2))`.

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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Find the range: (i) f(x) = 1+x (ii) f(x) = (1)/(x) , x != 0

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  2. Find the range : (i) f(x) = 2x^(2) (ii) f(x) = -x^(2)

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  3. Find the domain of the function y = (x)/(1-x^(2)).

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  4. Find the range of the function y = (x^(2) - 1)/(x-1), x != 1.

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  5. Define the function f : R rarr R by y = f(x) = x^(4), x in R. What is ...

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  6. Define the function f : R rarr R by y = f(x) = x^(5), x in R. What is...

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  7. Given the function f(x) = x^(2) + 2x + 5. Find f(-1), f(2), f(5).

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  8. Given the function f(x) = 2x + 7. Find f(0), f(5), f(7).

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  9. Find the domain and range of |x-3|.

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  10. Find the domain and range of -|x-5|.

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  11. Consider that [] represents greatest integer function. Find the valu...

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  12. Consider that [] represents greatest integer function. [(3)/(5)] + [...

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  13. Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+...

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  14. Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (...

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  15. If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) =...

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  16. If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) =...

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  17. Let f(x) = x^(3) + 6x + 9 and g(x) = x+5 be two functions. Find (f+g) ...

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  18. Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. F...

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  19. Show that the function f : R rarr R defined by f(x) = cos (5x+3) is ne...

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  20. Let A be the set of all 50 students of class XII in a central school. ...

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