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Let f : R − { − 3, 5 } → R be a functi...

Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = `(2x)/(5x+3)` . Write `f^(−1)`

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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  2. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

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  3. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

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  4. Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . ...

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  5. In the given function, find the co-domain and range

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  6. In the given function, find the domain, co-domain and range.

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  7. Let f : N rarr N and given by f(x) = x + 6. Find f(1), f(3), f(7).

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  8. A function f is defined by f(x) = x^(2) + 1. Find f(0), f(5), f(10).

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  9. Examine which of the following relations (defined on subsets of Z) are...

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  10. Let A = {1, 2, 3, 4}. Examine which of the following relations is a f...

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  11. Find the domain of definition of the function f(x) = sqrt(x^(2) - 5x +...

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  12. Find the domain of defintion of the function f(x) = sqrt(x^(2) - 3x + ...

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  13. Find the domain of f(x) = (x^(2)-9)/(x-3)

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  14. Find the domain of (1)/(1-x^(2))

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  15. Find the domain f(x) = sqrt(3x - 5).

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  16. Find the domain of f(x) = sqrt(x-11).

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  17. Find the domain of f(x) = (8-x)/(x-8).

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  18. Find the domain of f(x) = (x^(2)-36)/(x+6)

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  19. Find the domain of definition of the function f(x) = sqrt(a^(2) - x^(2...

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  20. Find the domain of definition of the function f(x) = sqrt(64 - x^(2)).

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