let f(x)=|x| , g(x)=(x)¹\³ and h(x ) =1\x (x=O). then find (i) fog (-8) (ii) foh (4) (iii) fogoh (i)
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Answer:
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
(
3
1
×3)
=8x.
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