Question
Download Solution PDFWhat is the inverse of the function y = 5log x
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Let f: A → B be one-one and onto (bijective) function. Then f-1 exists which is a function f-1: B → A, which maps each element b ∈ B with an element a ∈ A such that f(a) = b is called the inverse function of f: A → B.
Methods to find inverse:
Let f : A → B be a bijective function.
Step – I Put f (x) = y
Step – II Solve the equation y = f (x) to obtain x in terms of y.
Interchange x and y to obtain the inverse of the given function f
CALCULATION:
Given: y = 5log x
Here we have to find the inverse of the given function
By applying log to base 5 on both sides of y = 5log x we get,
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Hence, option B is the correct answer.
Last updated on Jun 20, 2025
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