If f(x) = 27x^3 and g(x) = x^1/3, then find gof(x).
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Solution :
Given f(x) = 27x³ ,
g(x ) = x⅓
=> gof(x)
= g[f(x)]
= g( 27x³ )
= ( 27x³ )⅓
= [ (3x)³ ]⅓
= ( 3x )^3×1/3
= 3x
•••••
Given f(x) = 27x³ ,
g(x ) = x⅓
=> gof(x)
= g[f(x)]
= g( 27x³ )
= ( 27x³ )⅓
= [ (3x)³ ]⅓
= ( 3x )^3×1/3
= 3x
•••••
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