What is the inverse of f(x)=e^{2x}-6e^x+5 ?

The inverse of f(x)=e^{2x}-6e^x+5 is ln(3+sqrt(x+4)),ln(3-sqrt(x+4))

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inverse of f(x)=e^{2x}-6e^x+5

inverse

f (x) = e^{2 x} - 6 e^{x} + 5

ln (3 + x + 4), ln (3 - x + 4)

Solution steps

y = e^{2 x} - 6 e^{x} + 5

Replace

x

with

y

x = e^{2 y} - 6 e^{y} + 5

Solve for

y, x = e^{2 y} - 6 e^{y} + 5

ln (3 + x + 4), ln (3 - x + 4)

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

f (x) = 7 x - 21

5 x (6 - x)

f (x) = \frac{( 3 - 8 x )}{4 + 7 x}

What is the inverse of f(x)=e^{2x}-6e^x+5 ?
The inverse of f(x)=e^{2x}-6e^x+5 is ln(3+sqrt(x+4)),ln(3-sqrt(x+4))