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Which of the following is an even functi...

Which of the following is an even function

A

`f(x)=(a^(x)+a^(-x))/(a^(x)-a^(-x))`

B

`f(x)=(a^(x)+1)/(a^(x)-1)`

C

`f(x)=x(a^(x)-1)/(a^(x)+1)`

D

`f(x)=log_(2)(x+sqrt(x^(2)+1))`

Text Solution

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. x((a^(x)+1)/(a^(x)-1))

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  2. x^(2)((a^(2x)+1)/(a^(2x)-1))

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  3. Which of the following is an even function

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  4. Which of the following is an odd function

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  5. f(x) is an odd polynomial function. Then cos [f(x)] is

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  6. Determine whether the function f(x) = log(x+sqrt(x^(2)+1)) is even or ...

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  7. (log(x+sqrt(x^(2)+1)))/(x) is

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  8. If f(x)=(cosx+ sinx)/(tanx+cotx) then function f(x) is

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  9. Let f(x)=(x)/(e^(x)-1)+(x)/(2)+1, then f is

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  10. If f from R is defined by f(x)=x^(2), then f^(-1){16}=

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  11. If f from R into R defined by f(x)=x^(3)-1, then f^(-1){-2, 0, 7}=

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  12. f:R rarrR defined by f(x)=x^(3)+x^(2)-x-1. Then the inverse image set ...

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  13. Let f be an injective function with domain {x, y, z} and range {1, 2, ...

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  14. If f={(a, 0), (b, 2), (c, -3)}, g={(a, -1), (b, 1), (c, 2)} then 2f-3g...

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  15. If f={(a, 1), (b, -2), (c, 3)}, g={(a, -2), (b, 0), (c, 1)} then f^(2)...

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  16. If f={(a, 0), (b, -2), (c, 3)}, g={a, -2), (b, 0), (c,1)} then f//g=

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  17. If f={(-2, 4), (0, 6), (2, 8)} and g={(-2, -1), (0, 3), (2, 5)}, then ...

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  18. If f:{(1, 2), (2,3), (3, 1)}, then fof=

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  19. If f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c...

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  20. If f(x)=2x-1, g(x)=x^(2), then (3f-2g)(x)=

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