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Find gof if f(x)=8x^(3) and g(x)=x^(1/3)...

Find `gof` if `f(x)=8x^(3) and g(x)=x^(1/3)`

Text Solution

Verified by Experts

The correct Answer is:
`=8x`.
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Knowledge Check

  • If f (x) and g (x) are two functions with g(x)=x-(1)/(x) and fog (x)=x^(3)-(1)/(x^(3)) , then f'(x)=

    A
    `3x^(2)+3`
    B
    `x^(2)-(1)/(x^(2))`
    C
    `1+(1)/(x^(2))`
    D
    `3x^(2)+(3)/(x^(4))`

  • If f: (R) rarr (R) and g (R) rarr (R) defined by f(x)=2x+3 and g(x)=x^(2)+7 ,then the values of x such that g(f(x))=8 are

    A
    1)1,2
    B
    2)-3
    C
    3)-3
    D
    4)-1,-2

  • If f(x)=8x^(3), g(x)=x^(1//3) , then fog (x) is

    A
    1.8x
    B
    2`8^(3)x`
    C
    3.`(8x)^(1//3)`
    D
    4.`8x^(3)`

    • Similar Questions

    Explore conceptually related problems

    Find gof and fog given f(x) = 8x^(3) and g(x) = x^(1//3) .

    Find gof and fog, if (i) f (x) = |x| and g (x) = |5x - 2| (ii) f (x) = 8x ^(3) and g (x) = x ^(1/3).

    Find fog if f(x)= x-2 and g(x) = 3x

    Find gof and fog given f(x) = |x| and g(x) = |5x - 2| .

    If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the value of g^(')(1) is

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