Find fog and gof, if f(x) = 8x3
, g(x) = x½
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Step-by-step explanation:
Given, f(x)=8x
3 and g(x)=x 1/3
(gof)(x)=g[f(x)]=g(8x 3 )=g(y), where y=8x 3
=y 1/3=(8x 3) 1/3
=2x.
(fog)(x)=f[g(x)]=f(x 1/3 )=f(y), where y=x 1/3
=8y 3
=8(x 1/3 ) 3
=8x ( 31 ×3)
=8x.
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