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If `f:R rarr R, g:R rarr R` are defined by `f(x)= 5x-3,g(x)=x^(2)+3`, then `(gof^(-1))(3)=`

A

`(25)/(3)`

B

`(111)/(25)`

C

`(9)/(25)`

D

`(25)/(111)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If f:R to R, g: R to R are defined by f(x) = 5x-3, g(x) =x^(2) + 3 , then (gof^(-1))(3) =

    A
    `25/9`
    B
    `111/25`
    C
    `9/25`
    D
    `25/111`
  • If f:R rarr R, S: R rarr R are defined by f(x) = 3x-4, g(x) = 5x-1 then, (fog^(-1))(2) =

    A
    `11/5`
    B
    `-11/5`
    C
    `1/5`
    D
    `-1/5`
  • If f:R rarr R, S: R rarr R are defined by f(x) = 3x-4, g(x) = 5x-1 then, (fog^(-1))(2) =

    A
    `11/5`
    B
    `-11/5`
    C
    `1/5`
    D
    `-1/5`
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