What is the inverse of ln(11x^2+3) ?

The inverse of ln(11x^2+3) is sqrt((e^x-3)/(11)),-sqrt((e^x-3)/(11))

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inverse of ln(11x^2+3)

inverse

ln (11 x^{2} + 3)

\frac{e ^{x} - 3}{11}, - \frac{e ^{x} - 3}{11}

Solution steps

y = ln (11 x^{2} + 3)

Replace

x

with

y

x = ln (11 y^{2} + 3)

Solve for

y, x = ln (11 y^{2} + 3)

\frac{e ^{x} - 3}{11}, - \frac{e ^{x} - 3}{11}

\frac{( \frac{8}{5} )}{( \frac{9}{4} )}

f (x) = \frac{1}{8 x} - 3

12000 + 0.25 (x - 40000)

f (x) = x - 1 - 1

f (x) = \frac{5}{4 - x}

What is the inverse of ln(11x^2+3) ?
The inverse of ln(11x^2+3) is sqrt((e^x-3)/(11)),-sqrt((e^x-3)/(11))