MHT CET202613 April 2026Evening ShiftMathematicsFunctionsActual

If g(x) is the inverse function of f(x) , where f(x) = 5x+3 4x-1 , then g(1) =

Options

A-4
B-1 4
C8 3
D3 8

Correct answer

A. -4

Step-by-step solution

Given f(x) = 5x+3 4x-1 and g(x) is the inverse function of f(x) . By definition of inverse functions, if g(1) = x , then f(x) = 1 . Substituting f(x) = 1 into the given function: 5x+3 4x-1 = 1 5x + 3 = 4x - 1 5x - 4x = -1 - 3 x = -4 Therefore, g(1) = -4 . Answer: -4

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