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If f[1, oo)rarr[1, oo) is defined by f(x...

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

A

`(x(x-1))/(2)`

B

`((1+sqrt(1+4logx)))/(2)`

C

`((1-sqrt(1+4log_(2)x)))/(2)`

D

none

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
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  8. Let f"":""NvecY be a function defined as f""(x)""=""4x""+""3 , wher...

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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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  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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  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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