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Let f , g and h be functions from R to R...

Let f , g and h be functions from R to R . Show that , (f +g) oh = foh + goh
(f.g) oh = (foh)+ (goh)

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -EXERCISE 1.3
  1. Let f: {1,3,4} rarr {1,2,5} and g : {1,2,5} rarr {1,3} be given by f={...

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  2. Let f , g and h be functions from R to R . Show that , (f +g) oh = foh...

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

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

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

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  6. State with reason whether following functions have inverse : f : {1,...

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

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

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

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  10. Consider f : R rarr R given by f(x) = 4x +3. Show that f is invertibl...

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  11. Consider f: R ^+ to [4 ,oo] given by f(x) =x^2 + 4 show th...

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  12. Consider f : R(+) rarr [-5,oo) given by f(x) = 9x^(2) +6x-5. Show that...

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

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

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

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

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

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  18. Determine whether or not each of the definition of ** given below give...

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  19. Determine whether or not each of the definition of ** given below give...

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  20. Determine whether or not each of the definition of ** given below give...

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