Question
Download Solution PDFLet f : R → R be a function whose inverse is \(\rm \frac {x+5}{3}\). What is f(x) equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If y = f(x) then x = f-1 (y)
Calculations:
Given, f : R → R be a function whose inverse is \(\rm \frac {x+5}{3}\).
⇒ y = f-1 (x) =\(\rm \frac{x+5}{3}\)
⇒ 3y = x + 5
⇒ x = 3y - 5
⇒y = f-1 (x)
⇒ x = f(y)
⇒ x = 3y - 5 = f(y)
⇒ f(y) = 3y - 5
⇒f(x) = 3x - 5
Hence, let f : R → R be a function whose inverse is \(\rm \frac {x+5}{3}\). then f(x) = 3x - 5
Last updated on Apr 16, 2025
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