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

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

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Find the gof and fog if f(x) = 8x^(3)" and "g(x)=x^(1/3)

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Knowledge Check

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

    A
    `8^(3)x`
    B
    `8x^(3)`
    C
    8x
    D
    `(8x)^(1//3)`

  • f(x) = 1/(1-x^2) and g(x) = x, the fog(x) is

    A
    `cos^2theta`
    B
    `sin^2 theta`
    C
    `tan(1/(1+x^2))`
    D
    `tan^2 theta`

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    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 gof and fog if f : R rarr R and g : R rarr R are given by f(x) = cosx and g(x) = 3x^(2)

    If f: R to R and g: R to R are given by f(x)= cosx and g(x) =3x^(2) .Show that gof ne fog

    If functions f : R to R and g: R to R are given by f(x) = |x| and g(x) = [x] , ( where [x] is greatest function) find fog (-(1)/(2) ) and "gof" (- (1)/(2) )

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