What is the inverse of f(x)=e^{sqrt(x)+1} ?

The inverse of f(x)=e^{sqrt(x)+1} is ln^2(x)-2ln(x)+1

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inverse of f(x)=e^{sqrt(x)+1}

inverse

f (x) = e^{x + 1}

ln^{2} (x) - 2 ln (x) + 1

Solution steps

y = e^{x + 1}

Replace

x

with

y

x = e^{y + 1}

Solve for

y, x = e^{y + 1}

ln^{2} (x) - 2 ln (x) + 1

\frac{4 x - 5}{2 x - 7}

f (x) = - 8 x^{2} + 11

f (x) = (x + 2)^{5} - 3

f (x) = (x + 2)^{5} + 1

What is the inverse of f(x)=e^{sqrt(x)+1} ?
The inverse of f(x)=e^{sqrt(x)+1} is ln^2(x)-2ln(x)+1