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

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To solve the problem, we need to evaluate the function \( f(x) = x + 6 \) for the values \( x = 1 \), \( x = 3 \), and \( x = 7 \). ### Step-by-Step Solution: 1. **Evaluate \( f(1) \)**: - Substitute \( x = 1 \) into the function: \[ f(1) = 1 + 6 ...
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. In the given function, find the co-domain and range

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the domain of the function f(x) = (x^(2)+5x+1)/(x^(2)-6x + 8).

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  18. Find the domain of the function f(x) = (x-1)/(x^(2) + 5x +6).

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  19. Find the range: (i) f(x) = 1+x (ii) f(x) = (1)/(x) , x != 0

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

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