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a gt 1 is a real number f(x) = log(a)x...

`a gt 1 ` is a real number `f(x) = log_(a)x^2` , where `x gt 0` If `f^(-1)(x)` is a inverse of f(x) and b and c are real numbers then `f^(-1) (b+c)` = ......

A

`f^(-1)(b) .f^(-1)(c)`

B

`f^(-1)(b)+f^(-1)(c)`

C

`1/(f(b+))`

D

None of these

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The correct Answer is:
A
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
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  2. f:N rarrN , f(x)=x+(-1)^(x-1) then f^(-1)(x)= .......

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  3. a gt 1 is a real number f(x) = log(a)x^2 , where x gt 0 If f^(-1)(x)...

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  6. Match the Section (A) with the Section (B) properly.

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  11. If S is defined on R by (x,y) inR hArr xy ge 0 . Then S is ...........

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  12. Which of the following defined on Z is not an equivalence relation ?

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  13. If a**b=(ab)/3 on Q^+ then the inverse of a(a ne0) for ** is ......

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  14. The number of binary operation on {1,2,3,......,n} is ..........

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