and the question class 10
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Step-by-step explanation:
Question 6.
Let f(x) = x² – 1.
Find (i) fof (ii) fofof
Answer:
f(x) = x² – 1
(i) fof = f[f{x)]
= f(x² – 1) =
= (x2 – 1)2 – 1 =
= x⁴ – 2x2 + 1- 1 =
= x⁴ – 2x2 =
(ii) fofof = fof[f(x)]
= fof (x² - 1) =
= f(x² – 1)² – 1
= f(x⁴ – 2x2 + 1 - 1) =
= f (x⁴ – 2x2) -
fofof = (x⁴ – 2x2)² – 1 =
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