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Home  >>  CBSE XII  >>  Math  >>  Relations and Functions
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Find \( gof\) and \(fog\), if (ii) \( f(x) = 8x^3\) and \( g(x) = x ^ \frac { 1} {3} \)

Note: This is part 2nd of a 5  part question, split as 2 separate questions here.

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  • $(gof)(x) =g(f(x))$
  • $(fog)(x)=f(g(x))$


$f(x)=8x^3 \;and\;g(x)=x^{1/3}$

$(gof) (x)=g(f(x))$ $=g(8 x^3)$

$=(8x^3)^{1/3}$

$=2x$

$(fog)(x)=f(g(x))$

$=f(x^{1/3})$

$ =8(x^{1/3})$

$=8x$

answered Mar 7, 2013 by meena.p
edited Mar 18, 2013 by meena.p
 

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