What is the inverse of f(x)=e^{2x}+4e^x-5 ?

The inverse of f(x)=e^{2x}+4e^x-5 is ln(-2+sqrt(x+9)),ln(-sqrt(x+9)-2)

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inverse of f(x)=e^{2x}+4e^x-5

inverse

f (x) = e^{2 x} + 4 e^{x} - 5

ln (- 2 + x + 9), ln (- x + 9 - 2)

Solution steps

y = e^{2 x} + 4 e^{x} - 5

Replace

x

with

y

x = e^{2 y} + 4 e^{y} - 5

Solve for

y, x = e^{2 y} + 4 e^{y} - 5

ln (- 2 + x + 9), ln (- x + 9 - 2)

f (x) = \frac{2 x}{x - 7}

f (y) = x^{2}

5 x^{4} + 3

\frac{3 x - 5}{2}

2 x + 2 b

What is the inverse of f(x)=e^{2x}+4e^x-5 ?
The inverse of f(x)=e^{2x}+4e^x-5 is ln(-2+sqrt(x+9)),ln(-sqrt(x+9)-2)