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

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

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To find \( f(f(x)) \) for the function \( f(x) = 3x + 2 \), we will follow these steps: ### Step 1: Write down the function We know that: \[ f(x) = 3x + 2 \] ...
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RD SHARMA-FUNCTION-Solved Examples And Exercises
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  2. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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

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

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

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

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  10. 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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  11. If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...

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  12. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

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  13. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

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  14. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

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  15. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A={x in R ...

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  16. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

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  17. Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...

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  18. The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...

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  19. Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...

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  20. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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