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Find the domain and range of the followi...

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

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To find the domain and range of the function \( f(x) = \frac{1}{\sqrt{1 - \cos x}} \), we will follow these steps: ### Step 1: Determine the Domain 1. **Identify Restrictions**: The function is in the form \( \frac{P}{Q} \), where \( Q = \sqrt{1 - \cos x} \). For the function to be defined, \( Q \) must not be equal to zero. Therefore, we need to find when \( 1 - \cos x = 0 \). 2. **Solve for \( x \)**: \[ ...
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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Find the domain and range of the following f(x)=1+3cos2x

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Check the injectivity and surjectivity of the following functions f:Zr...

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