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Find the domain and range of the followi...

Find the domain and range of the following relation `R={(x,y):x in N ,x lt 6 and y=4}`

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To find the domain and range of the relation \( R = \{(x, y) : x \in \mathbb{N}, x < 6 \text{ and } y = 4\} \), we will follow these steps: ### Step 1: Identify the domain The domain consists of all possible values of \( x \) that satisfy the given conditions. 1. **Natural Numbers**: The natural numbers are \( 1, 2, 3, 4, 5, \ldots \) (starting from 1). 2. **Condition \( x < 6 \)**: We need to find the natural numbers that are less than 6. ...
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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. If (x+y,x-y)=(1,2) find x and y

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  2. Find the domain and range of the following relation R={(1,3),(1,5),(1,...

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  3. Find the domain and range of the following relation R={(x,y):x in N ,x...

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  4. Find the domain and range of the following relation R={(x+2,x+4):x in ...

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  5. which of the following relations are functions from A={1,3,5,7,9} to B...

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  6. which of the following relations are functions from A={1,3,5,7,9} to B...

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  7. If f:RrarrR defined by f(x)=x^(2)-2x+3, then find f(f(x)).

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  8. Find the domain and range of the following f(x)=1/(2x-1)

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

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  10. Find the domain and range of the following f(x)=1+3cos2x

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  11. Find the domain and range of the following f(x)=1/(x^2-1)

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  12. Find the domain and range of the following f(x)=1/sqrt(1-cosx)

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  13. Which of the following functions are even and which odd? f(x)=x^4+x^2

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  14. Which of the following functions are even and which odd? f(x)=x^3+x

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  15. which of the following functions are even and which odd? f(x)=x^3+x

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  16. if f(x)=1/(1-x) then find f((x-1)/x)

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  17. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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  18. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

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  19. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

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  20. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

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