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Question
If f(x) = (4 – (x – 7)3}, then f–1(x) = ______.
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Solution
If f(x) = (4 – (x – 7)3}, then f–1(x) = `7 + (4 - x)^(1/3)`.
Explanation:
Given that, f(x) = [4 – (x – 7)3]
Let y = [4 – (x – 7)3]
⇒ (x – 7)3) = 4 – y
⇒ (x – 7) = `(4 - y)^(1/3)`
⇒ x = 7 + `(4 - y)^(1/3)`
⇒ f–1(x) = `7 + (4 - x)^(1/3)`
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