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Let f: R->R be defined as f(x)=x^2+1 . F...

Let `f: R->R` be defined as `f(x)=x^2+1` . Find: `f^(-1)(10)`

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To find \( f^{-1}(10) \) for the function \( f(x) = x^2 + 1 \), we will follow these steps: ### Step 1: Set the function equal to \( y \) Let \( f(x) = y \). Therefore, we have: \[ y = x^2 + 1 \] ...
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RD SHARMA-FUNCTION-Solved Examples And Exercises
  1. If the function f: R->R be defined by f(x)=x^2+5x+9 , find f^(-1)(8) a...

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  2. If the function f: C->C be defined by f(x)=x^2-1 , find f^(-1)(9) and ...

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  3. Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

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  4. If A={0,\1,\ 2,\ 3,} , B={1,\ 3,\ 5,\ 7,\9} and f: A->B is given by f(...

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  7. If f: Rvec is defined by f(x)=2x+7. Prove that f is a bijection. Also,...

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  8. If f: R->R is a bijection given by f(x)=x^3+3 , find f^(-1)\ (x) .

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  9. Let f: R->R be defined by f(x)=3x-7 . Show that f is invertible and he...

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  10. Show that f: R-cR0[0] given by f(x)= is invertible and it is inverse o...

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  12. Prove that the function f: R->R defined as f(x)=2x+3 is invertible. ...

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  14. Show that f: R-{-1}->R-{1} given by f(x)=x/(x+1) is invertible. Also, ...

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  15. Show that f: [-1, 1] ->R, given by f(x)=x/((x+2)is one- one . Find th...

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  16. Let f: Rvec\ be defined as f(x)=10 x+7. Find the function g: RvecR su...

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