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Let f: R->R be defined as f(x)=(2x-3)/4 ...

Let `f: R->R` be defined as `f(x)=(2x-3)/4` . Write `fof^(-1)(1)` .

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To solve the problem, we need to find \( f(f^{-1}(1)) \) where the function \( f(x) \) is defined as: \[ f(x) = \frac{2x - 3}{4} \] ### Step 1: Find the inverse function \( f^{-1}(x) \) ...
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RD SHARMA-FUNCTION-Solved Examples And Exercises
  1. Let f: R-{-3/5}->R be a function defined as f(x)=(2x)/(5x+3) . Write f...

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  2. Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x...

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  3. Let f: R->R be defined as f(x)=(2x-3)/4 . Write fof^(-1)(1) .

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  4. Let f be an invertible real function. Write (f^(-1)\ of)(1)+(f^(-1)...

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  5. Let A={1,\ 2,\ 3,\ 4} and B={a ,\ b} be two sets. Write total numbe...

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  6. Write the domain of the real function f(x)=sqrt(x-[x]) .

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  7. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x)d...

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  8. Write the domain of the real function f(x)=1/(sqrt(|x|-x))

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  9. Write whether f: R->R given by f(x)=x+sqrt(x^2) is one-one, many-one, ...

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  10. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

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  11. What is the range of the function f(x)=[|x-1|]/[x-1]

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

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  13. If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

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  14. Let A={1,2,3},\ B={4,5,6,7} and let f={(1,4),\ (2,5),\ (3,6)} be a ...

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  15. If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\...

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  16. Let f: R->R be the function defined by f(x)=4x-3 for all x in R . The...

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  17. Which one the following relations on A={1,\ 2,\ 3} is a function? f...

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  18. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

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  19. Let A={a , b , c , d}a n df: AvecA be given by f={(a , b),(b , d),(c ,...

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  20. Let f,g: Rvec be defined by f(x)=2x+1a n dg(x)=x^2-2 for all x in R ,...

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