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If f:{1, 2, 3,……}rarr{0, pm1, pm2, …..} ...

If `f:{1, 2, 3,……}rarr{0, pm1, pm2, …..}` is defined by `f(x)={{:(n//2,"if n is even"),(-((n-1)/(2)),"if n is odd"):}` then `f^(-1)(-100)` is

A

100

B

199

C

201

D

200

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
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  10. If f:R rarr R^(+) such that f(x)=(1//3)^(x), then f^(-1)(x)=

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  11. If f:[1, oo)rarr[2, oo) is given by f(x)=x+(1)/(x) then f^(-1)(x)=

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  12. If f:R^(+)rarrR such that f(x)=log(3)x then f^(-1)(x)=

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  13. If f:{1, 2, 3,……}rarr{0, pm1, pm2, …..} is defined by f(x)={{:(n//2,"...

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  14. The inverse of f(x)=(10^x-10^(-x))/(10^x+10^(-x))=

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  15. Let f:DtoR, where D is the domain of f. Find the inverse of f if it ex...

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  16. If f[1, oo)rarr[1, oo) is defined by f(x)=2^(x(x-1)) then f^(-1)(x)=

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  17. If f(x)=x-x^(2)+x^(3)-x^(4)+….oo when |x| lt 1 then f^(-1)(x)=

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  18. If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3, then...

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  19. If f:R rarr and g:R rarr R are defined by f(x)=3x-4 and g(x)=2+3x then...

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  20. If f(x)=(x+1)^(2)-1, x ge -1 then the set S={x, f(x)=f^(-1)x} is

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