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If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5)...

If f:(1,3,4} `rarr` {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 gof.

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If the mapping f:{1,3,4}vec{1,2,5}a n dg:{1,2,5}vec{1,3}, given by f={(1,2),(3,5),(4,1)}a n dg={(2,3),(5,1),(1,3)}, write fogdot

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find gof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find fog

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find gog

Let f= {(1, 5), (2, 6), (3, 4)} g = {(4, 7), (5,8), (6,9)}. Then gof is :

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find fof

If A=[{:(2,-1,3),(-4,5,1):}] and B=[{:(2,3),(4,-2),(1,5):}] , then

Fill in the blank: Let f = (1,2), (3,5), (4,1) and g = (2,3), (5,1), (1,3) then gof = _______and fog = _________.

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let f : R rarr R be defined as f(x) = x^4. Choose the correct answer.

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  2. Let f : RrarrR be defined as f (x) = 3x Choose the correct answer.

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  3. If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5) {1,3} be given by f = {(1, 2)...

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  4. Let f,g and h be function from R to R. Show that (f+g) o h = foh + goh

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  5. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

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  6. Find gof and fog, if f(x) = 8x^3 and g(x) = x^(1/3)

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  7. If f(x)=(4x+3)/(6x-4) , x ne 2/3 , show that (fof) (x) = x for all ne ...

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  8. State with reason whether following functions have inverse: h: {2,3,4,...

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  9. State with reason whether following functions have inverse: g: {5,6,7,...

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  10. State with reason whether following functions have inverse: h: {2,3,4,...

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  11. Show that f: [ -1, 1] rarr R, given by f(x)= (x)/(x+2) is one-one. Fin...

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  12. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

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  13. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

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  14. Consider f: Rrarr[-5, oo] given by f(x) = 9x^2 + 6x - 5. Show that f ...

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  15. Let f : X rarr Y be an invertible function. Show that f has unique inv...

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  16. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

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  17. Let f : X rarr Y be an invertible function. Show that the inverse of ...

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  18. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

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  19. Let f : R - {-4/3} rarr R be a function defined as f(x) = (4x)/(3x+4)....

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  20. Determine whether or not each of the defination of '*' given below giv...

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