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If the mapping f and g are given by f ...

If the mapping f and g are given by
f = {(1, 2), (3, 5), (4, 1)}
and g = {(2, 3), (5, 1), (1, 3)},
write down pairs in the mapping fog and gof.

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The correct Answer is:
f o g = {(,2, 5), (5, 2), (1, 5)},
g o f = {(1, 3), (3, 1), (4, 3)}
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ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (3) (FUNCTIONS AND MAPPING)
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  2. Are the following sets of ordered pairs functions ? If so, examine whe...

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  5. Let R be the set of all real numbers let f: R to R : f(x) = sin x ...

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  6. Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)...

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  7. "If" f(x)=(3x+2)/(5x-3),"then"

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  8. Given f(x)=log(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2)), then f...

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  9. Let f:RrarrR be defined by f(x)="cos"(5x+2). If f invertible ?

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  10. A mapping is defined as f:R to R. f (x) = cos x. Show that it is neit...

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  11. Let C be the set of complex numbers. Prove that the mapping f: C to R...

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  12. Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3). Is...

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  13. Let f: R to R be defined by f(x) = 3x + 4, X in R Is f invertible ? ...

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  14. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

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  15. Let A and B be two sets with a finite number of elements. Assume that ...

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  16. If f: R to R is defined by f (x)= x^2 + 1, then values of f^(-1) (17) ...

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  17. Which of the statements given below is different from the other?

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  18. Find the domain and range of f (x)= x^2 //(1+x^2)(x real). Is the func...

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  19. If A={x:-1lexle1} and f be a function on A. Discuss the following func...

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  20. If A={x:-1lexle1}=B. Discuss the following functions w.r.t. one-one-on...

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