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A simple ciphertakes a number and codes ...

A simple ciphertakes a number and codes it, using the function f(x) = 3x -4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x (by drawing the lines).

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SURA PUBLICATION-SETS RELATIONS AND FUNCTIONS-EXERCISE 1.3
  1. State whether the following relations are functions or not. If it is a...

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  2. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  3. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  4. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  5. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  6. Find the domain of (1)/(1-2sinx).

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  7. Find the largest possible domain of the real valued function f(x) = (s...

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  8. Find the range of the function (1)/(2cosx-1).

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  9. Show that the relation xy = -2 is a function for a suitable domain. Fi...

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  10. If f,g : RR to RR are defined by f(x) = |x| +x and g(x) = |x|-x, find ...

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  11. If f,g,h are real valued function defined on R, then prove that (f+g...

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  12. If : RR to RR is defined by f(x) = 3x-5, prove that f is a bijection a...

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  13. The weight of the muscles of a man is a function of his body weight x ...

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  14. The distance of an object falling is a function of time t and can be e...

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  15. The total cost of airfare on a given route is comprised of the base co...

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  16. A salesperson whose annual earnings can be represented by the function...

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  17. The function for exchanging American dollars for Singapore Dollar on a...

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  18. The owner of a small restaurant can prepare a particular meal at a cos...

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  19. The formula for converting from Fahrenheit to Celsius temperatures is ...

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  20. A simple ciphertakes a number and codes it, using the function f(x) = ...

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