Find the inverse of the function f(x)= ln(x+(x^2+1)^1/2).

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Arun · Answer

Dear Bhavesh The get the inverse, exchange x and y and try to express y in terms of x. x = ln[y + √(y 2 + 1)] e x = y + √(y 2 + 1) e x - y = √(y 2 + 1) Square both sides. e 2x - 2e x y + y 2 = y 2 + 1 e 2x - 2e x y = 1 y = (1 - e 2x ) / (-2e x ) f -1 (x) = (e 2x - 1) / (2e x )

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Find the inverse of the function f(x)= ln(x+(x^2+1)^1/2).

Find the inverse of the function f(x)= ln(x+(x^2+1)^1/2).

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Find the inverse of the function f(x)= ln(x+(x^2+1)^1/2).

Find the inverse of the function f(x)= ln(x+(x^2+1)^1/2).

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