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Consider the real function f(x)=(x+2)/(x...

Consider the real function `f(x)=(x+2)/(x-2)`
Prove that `f(x)f(-x)+f(0)=0`

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MAXIMUM PUBLICATION-Relations and Functions-EXAMPLE
  1. The Cartesian product PxxP has 9 elements among which are found (-a,...

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  2. Consider the real function f(x)=(x+2)/(x-2) Find the domain and rang...

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  3. Consider the real function f(x)=(x+2)/(x-2) Prove that f(x)f(-x)+f(0...

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  4. Let P={1,2}.Find PxxPxxP

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  5. Let A={1,2,3,……,13,14},R is the relation on A defined by R={(x,y):3x-y...

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  6. Let A={1,2,3,……,13,14},R is the relation on A defined by R={(x,y):3x-y...

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  7. Write the domain and range of the relation R={(2,5),(3,10),(4,17),...

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  8. If f(x)=x^2-3x and g(x)=x+2 find (f+g)(x),(f-g)(x) and (fg)(x)

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  9. If P={m,n},Q={n,m} , state whether the following is TRUE or FALSE ...

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  10. Write the relation R={(x,x^3), x is a prime number less than 10}, in r...

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  11. Let A={1,2,3,4} B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,1...

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  12. Let R be the set of Reals.Define a function f:RrarrR by f(x)=2x^2-1 ...

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  13. Let R be the set of Reals.Define a function f:RrarrR by f(x)=2x^2-1 ...

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  14. Let R be the set of Reals.Define a function f:RrarrR by f(x)=2x^2-1 ...

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  15. If A={-1,1}, find AxxA.

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  16. Consider the relation R defined by R={(x,x+1): x in {-1,1}} Write R in...

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  17. Draw the graph of the function. y=x,x in R

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  18. Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(...

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  19. Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(...

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  20. Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(...

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