What is the inverse of f(x)=ln(x^2+4) ?

The inverse of f(x)=ln(x^2+4) is sqrt(e^x-4),-sqrt(e^x-4)

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

inverse

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

e^{x} - 4, - e^{x} - 4

Solution steps

y = ln (x^{2} + 4)

Replace

x

with

y

x = ln (y^{2} + 4)

Solve for

y, x = ln (y^{2} + 4)

e^{x} - 4, - e^{x} - 4

y = 7 x - 3

f (x) = \frac{( x + 2 )}{3 x - 1}

6 x + 18

\frac{1}{3 x - 5}

What is the inverse of f(x)=ln(x^2+4) ?
The inverse of f(x)=ln(x^2+4) is sqrt(e^x-4),-sqrt(e^x-4)