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Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} an...

Let `f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)}` and g`={(1,\ 3),\ (3,\ 3),\ (4,\ 9),\ ` `(5,\ 9)}` find `fog` and `gofdot`

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Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and g ={(1,\ 3),\ (3,\ 3),\ (4,\ 9),\ (5,\ 9)} . Show that gof and fog are both defined. Also, find fog and gofdot

Let f={(3,1),(9,3),(12 ,4)} and g={(1,3),(3,3),(4,9),(5,9)}dot Show that gofa n dfog are both defined. Also, find foga n dgofdot

Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} be given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} and g={(1,\ 3),\ (2,\ 3),\ (5,\ 1)} . Write down gofdot

Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(-2 ,-4),(-3,-6),(4,8)}dot find gofdot

Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(02 ,-4),(-3,-6),(4,8)}dot Show that gof is defined while fog is not defined. Also, find gofdot

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} . Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} . Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

If f={(1,4),(2,5),(3,6)} and g={(4,8),(5,7),(6,9)} , then gof is

If the function f and g are given by f={(1,2),(3,5),(4,1)} and g={(2,3),(5,1),(1,3)}, find range of f and g. Also write down fog and gof" as set of ordered pairs.

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A^(prime) .

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Find gof and fog when f: R->R and g: R->R is defined by f(x)=x^2+2x-3 ...

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  2. Find gof and fog when f: R->R and g: R->R is defined by f(x)=8x^3 and ...

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  3. Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and g={(1,\ 3),\ (3,\ 3),\ (4,\ ...

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  4. Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(-2 ,-4),(-3,-6),(...

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  5. Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions f...

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  6. Find fog\ (2) and gof\ (1) when: f: R->R ; f(x)=x^2+8 and g: R->R ; g(...

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  7. Let R^+ be the set of all non-negative real numbers. If f: R^+\ ->R...

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  8. Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show tha...

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  9. Let f: R->R and g: R->R be defined by f(x)=x+1 and g(x)=x-1. Show th...

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  10. Verify assoiativity for the following three mappings : f: NvecZ0...

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  11. Consider f : N ->N, g : N ->Nand h : N ->Rdefined asf (x) = 2x, g (y) ...

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  12. Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such...

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  13. Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...

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  14. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

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  15. If f: A->B and g: B->C are onto functions, show that gof is an onto fu...

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  16. If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sin...

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  17. If f:[0,oo)->R and g: R->R be defined as f(x)=sqrt(x) and g(x)=-x^2-1,...

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  18. If f(x)=e^x and g(x)=(log)e x(x >0), find fog and gof. Is fog=gof?

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  19. If f(x)=sqrtx(x > 0) and g(x)=x^2-1 are two real functions, find fog a...

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  20. If f(x)=1/x and g(x)=0 are two real functions, show that fog is not...

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