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Let f(x)=x^(2) and g(x)=2x+1 be two real...

Let `f(x)=x^(2) and g(x)=2x+1` be two real functions. Find `(f+g) (x), (f-g) (x), (fg) (x), (f/g) (x)`.

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The correct Answer is:
`x^(2)-2x-1`
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Solutions of NCERT Exemplar Problems (Question of Module)
  1. Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f...

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  2. A= {-1, 0}, B = {-1, 0, 1}, then find A xx B and B xx A

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  3. A and B are not singleton sets. n(A xx B)= 21. If A sub B" then "n(B)=...

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  4. A= {2, 3}, B= {-1, 2, 5} then find the number of elements in the power...

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  5. Let A={1,2,3....14}. Define a relation R from A to A by R={(x,y) : 3x-...

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  6. A = {2, 3, 4, 5} , B= {3, 6,7}. A relation from A to B is R defined as...

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  7. A= {a, b, c}. Find the number of relations defined on A.

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  8. f: Z rarr Z, f(n)= (-1)^(n). Find the range of f.

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  9. f(x) is a real valued function f(x) = (1)/(sqrt(5x-3)). Find the domai...

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  10. The function f which maps temperature in degree Celsius into temperatu...

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  11. Find the range of the function f(x)= sqrt(25-x^(2))

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  12. A= {5, 10, 15, 20}, B= {2,4,6,8, 10}. Out of the following, which is a...

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  13. Find the range of f(x)= (x+ 5)/(|x+ 5|), x ne -5.

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  14. Find the range of f: R rarr R, f(x)= x^(2)-6x+ 7

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  15. f: R rarr R, f(x)= |x+2|. Draw the graph of f(x) and hence find its ra...

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  16. A= {1, 2, 3, 4, 5} R = {(x,y) ||x^(2)-y^(2) | lt 16} Find R.

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  17. Find the range of the given function defined as f (x)= (x-[x])/(1+ x-[...

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