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Find the domain and range of the followi...

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

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To find the domain and range of the function \( f(x) = \frac{3}{2 - x^2} \), we will follow these steps: ### Step 1: Find the Domain The domain of a function is the set of all possible input values (x-values) that will not cause any undefined behavior in the function. In this case, we need to ensure that the denominator is not equal to zero, as division by zero is undefined. 1. Set the denominator equal to zero: \[ 2 - x^2 = 0 ...
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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. If f:RrarrR defined by f(x)=x^(2)-2x+3, then find f(f(x)).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Draw the graph of the following functions and hence find the range of ...

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  19. Draw the graph of the following functions and hence find its ranges f(...

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  20. Draw the graph of the following functions and hence find its ranges : ...

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