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If f = (5,2),(6,3), g = (2,5),(3,6), wri...

If f = (5,2),(6,3), g = (2,5),(3,6), write fog.

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Let A = R - (3), B = R = (1). Let f: A rarr B be defined by: f(x) = (x-2)/(x-3) AA x in A .Then show that 'f' is bijective. If the mappings f and g are given by : f=(1,2),(3,5),(4,1) and g = (2,3),(5,1),(1,3) write fog.

If f = (1.4), (2,5), (3,5) and g = (4,6),(5,6) be two function then find the function fog.

Let f, g be the functios f = ((1,5), (2,6), (3,4)), g = ((4,7), (5,8), (6,9)) write the range of f and also that of g . Find gof.

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

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.

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}, B.:= {4, 5, 6,7}, and f = {(1, 4), (2,5), (3, 6) be function from A to B state whether the function f is one-one or not.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let f : X rarr Y be defie by f(x = x^2 for all x in X where X = (-2...

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  2. Let f : N rarr N be defined by f (X) = x + 3 for all x in N, obtain f^...

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  3. If f = (5,2),(6,3), g = (2,5),(3,6), write fog.

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  4. Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , ...

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  5. If f (x) = (a-x^n)^(1//n) prove that f(f(x)) = x

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  6. If f(X) =(ax-b)/(bx-a), show that f(f(x)) = x

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  7. If f(x) = (1)/(1-x), show that f(f(x)) = x

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

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  9. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

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  10. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

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  11. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

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  12. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

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  13. Let f(X) = 3-4 x for all xin R. Find g : R rarr R such that gof = 1R=f...

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  14. Let f : R rarr R be defined as f(x) = 7x - 3. Find the function g: R ...

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  15. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  16. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  17. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  18. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  19. If f(x) = sin x and g (X) = 3x. Describe gof and fog. Are these functi...

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  20. If f(x) = sin x and g (X) = 3x. Describe fog. Are these functions equa...

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