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If f, g : R rarr R are defined respectiv...

If `f, g : R rarr R` are defined respectively by : `f (x) = x^2 + 3x + 1 , `g (x) = 2x- 3`. Find fog and gof.

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`x^4 + 6x^3+14x^2+15x+5`
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BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

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  2. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

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  3. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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  4. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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  5. Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2,...

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  6. Give an example of a relation which is reflexive and transitive but no...

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  7. Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2...

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  8. If R is the relation ‘less than' for: A= {2, 4, 6, 8, 10} to B= {8,...

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  9. If R is the relation '' greater than'' for : A = {1, 4, 5,} to B={1...

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  10. Show that the function f:N rarr N given by f(x) = 4x is one-one, but ...

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  11. Show that the function f:N rarr N given by f(x) = 5x is one-one but n...

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  12. Find fog and gof , if f(x) = x^2 , g (x) = x +1

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  13. If f :Rrarr R defined by f(x)= (5x+6)/7 is an invertible function, ...

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  14. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

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  15. Prove that the relation R in Z of integers given by: R = {(x, y): 3x -...

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  16. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

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  17. Check the injectivity and surjectivity of the following function: f ...

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  18. Check the injectivity and surjectivity of the following function: f :...

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  19. If f(x) =x/(x-1) then show that (fof)(x) = x.

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  20. 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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