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Show that the function f:RrarrR defined ...

Show that the function `f:RrarrR` defined by `f(x)=x^(2)` is neither one-one nor onto.

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Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

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Show that the function f:RrarrR defined by f(x)=(x)/(x^(2)+1),AAx inR is neither one-one nor onto. Also, if g:RrarrR is defined as g(x)=2x-1 , find fog(x).

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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Which of the following relations are functions from A to B write their...

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  2. Show that the function f:N rarr N given by f(x)=3x is one one but not ...

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  3. Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-o...

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  4. the function f:R rarr R defined as f(x)=x^(3) is

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  5. Show that the function f:R rarr R defined by f(x)= absx is neither one...

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  6. In each of the following case check whether the functions are one-one ...

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  7. in each of the following case check whether the functions are one one ...

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  8. find the period of the following functions: f(x)=3sin2x

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  9. find the period of the following functions: f(x)=cos(x/2)

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  10. find the period of the following functions: f(x)=tan (x/4)

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  11. find g 0 f and f 0 g if f:R rarr R and g:R rarr R are given by f(x)=...

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  12. Which of the following relations are functions? Give reasons. If it is...

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  13. which of the following relation are functions and give reason if it is...

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  14. Which of the following relations are functions? Give reasons. If it is...

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  15. if f(x)=(x-1)/abs(x-1) find the value of f(-1) and f(2)

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  16. Find the domain and range of the following function f(x)=sqrt(x-1)

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  17. Find the domain and range of the following function f(x)=abs(x-1)

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  18. Find the domain and range of the following function f(x)=2-3x, x in R,...

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  19. Find the domain and range of the following function f(x)=x^2+2

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  20. Find the domain and range of the following function f(x)=1/x

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