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If function f : R rarr R^(+), f(x) = 2^(...

If function `f : R rarr R^(+), f(x) = 2^(x)`, then `f^(-1)` (x) will be equal to

A

`log_(x)2`

B

`log_(2) (1//x)`

C

`log_(2)x`

D

x

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The correct Answer is:
C
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
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  4. If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = lo...

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  5. If f : R - {1} rarr R, f(x) = (x-3)/(x+1), then f^(-1) (x) equals

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  6. If function f : R rarr R^(+), f(x) = 2^(x), then f^(-1) (x) will be eq...

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  7. If f(x) = 2 sinx, g(x) = cos^(2) x, then the value of (f+g)((pi)/(3))

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  8. The graph of the function y = log(a) (x + sqrt(x^(2) + 1)) is not sym...

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  11. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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  12. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then f(x)=sin^2x ,g(x)...

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  13. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

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

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  15. If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)), then f is

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  17. The binary operation defined on the set z of all integers as a ** b =...

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  18. If A = {1, b}, then the number of binary operations that can be define...

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  19. Let A be the set of all real numbers except -1 and an operation 'o' be...

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  20. Let f(x) = (x)/(1+|x|), x in R, then f is

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