Question
Download Solution PDFLet f: R → R be the function defined by f (x) = 3x – 5 ∀ x ∈ R. Then write f –1.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
A function f: X → Y is defined to be invertible, if there exists a function g: Y → X such that g o f = Ix and
f o g = IY. The function g is called the inverse of f and is denoted by f –1.
- For calculation of inverse of any function, it should be arranged in the terms of x = f(y) and then every y should be replaced with x.
CALCUATIONS:
Given that f (x) = 3x – 5 = y (say),
then 3x = y + 5 ⇒
Hence
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