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

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

Text Solution

Verified by Experts

The correct Answer is:
`(gof)(x) = |5|x|-2|
(fog)(x) = |5x - 2|`
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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).

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Knowledge Check

  • Let f, g : R rarrR be two functions defined as f(x) = |x| + x and g(x) = | x| - x AA x in R. . Then (fog ) (x) for x lt 0 is

    A
    0
    B
    4x
    C
    `-4x`
    D
    2x

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