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"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. C...

`"Let" f(x) =sqrtx "and" g(x) = 1 -x^2.` Compute fog and gof and find their natural domains.

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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof ...

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  2. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2.Find natural domains of f and g.

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  3. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  4. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2.Find natural domain of h(x) = 1-...

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  5. Let f(x) = sqrt(x) and g(x) = 1 -x^(2). Show that hgof only on R(0)=...

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  6. Find the composition fog and gof and test whether fog = gof when f and...

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  7. Find the composition fog and gof and test whether fog = gof when f and...

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  8. Find the composition fog and gof and test whether fog = gof when f and...

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  9. Find the composition fog and gof and test whether fog = gof when f and...

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  10. Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...

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  11. Express each of 1+x+x^2 function as the sum of an even function and an...

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  12. Express each of x^2 function as the sum of an even function and an odd...

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  13. Express each of e^x function as the sum of an even function and an odd...

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  14. Express each of e^x+ sin x function as the sum of an even function and...

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  15. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  16. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  17. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  18. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  19. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  20. Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...

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