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Popular >

inverse of f(x)=ln(((x+3))/x)

Solution

inverse

f (x) = ln (\frac{( x + 3 )}{x})

Solution

\frac{3}{e ^{x} - 1}

Solution steps

y = ln (\frac{x + 3}{x})

Replace

x

with

y

x = ln (\frac{y + 3}{y})

Solve for

y, x = ln (\frac{y + 3}{y})

\frac{3}{e ^{x} - 1}

Popular Examples

inverse of f(x)=x^2+4x+4 inverse

f (x) = x^{2} + 4 x + 4

domain of f(x)=((2x+3))/(x(x^2+2x-3))domain

f (x) = \frac{( 2 x + 3 )}{x ( x ^{2} + 2 x - 3 )}

inverse of f(x)=23(x-11)inverse

f (x) = 23 (x - 11)

intercepts of y=x^2-2x-3 intercepts

y = x^{2} - 2 x - 3

inverse of f(x)=(8-x)/5 inverse

f (x) = \frac{8 - x}{5}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=ln(((x+3))/x) ?
The inverse of f(x)=ln(((x+3))/x) is 3/(e^x-1)