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Let f , R to R and g , R to R defined as...

Let `f , R to R` and `g , R to R` defined as `f(x) = | x |`, `g(x) = | 5x - 2|` then find `fog`.

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MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
  1. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  2. If the invertible function f is defined as f(X) = (3x-4)/5 , write f^(...

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  3. Let f , R to R and g , R to R defined as f(x) = | x |, g(x) = | 5x - 2...

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  4. Let * is a binary operation defined by a * b = 3a + 4b - 2, find 4*5.

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  5. Let the binary operation on Q defined as a * b = 2a + b - ab, find 3*4...

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  6. Let * is a binary operation on Z defined as a * b = a + b - 5 find the...

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  7. Find the number of binary operations on the set {a, b}.

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  8. Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b...

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  9. List the members of the equivalence relation defined by {{1},{2},{3,4...

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  10. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

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  11. Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...

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  12. For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...

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  13. Let A = {a,b,c) and the relation R be defined on A as follows: R={{a...

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  14. Let X and Y be sets containing m and n elements respectively.How many ...

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  15. Show that the relation R in the set of real numbers, defined as R = {(...

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  16. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  17. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  18. Let * is a binary operation on the set of all non-zero real numbers, g...

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  19. Test whether the relations are reflexive, symmetric or transitive on t...

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  20. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

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