Let f(x) = x2-1. Find (i) fof (ii) fofof
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Answer:
ANSWER
fofof(x)=fof(
1+x
2
x
)
=f
⎝
⎜
⎜
⎜
⎛
1+
1+x
2
x
2
1+x
2
x
⎠
⎟
⎟
⎟
⎞
=f(
1+2x
2
x
)
=
⎝
⎜
⎜
⎜
⎛
1+
1+2x
2
x
2
1+2x
2
x
⎠
⎟
⎟
⎟
⎞
=
1+3x
2
x
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