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Question
If f(x) = x2 – 1, g(x) = x – 2 find a, if gof(a) = 1
Solution
f(x) = x2 – 1, g(x) = x – 2
Given gof(a) = 1
gof(x) = g(f(x))
= g(x2 – 1) = x2 – 1 – 2
= x2 – 3
gof(a) ⇒ a2 – 3 = 1
a2 = 1 + 3
= 4
a = ± 2
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