What is the inverse of f(x)=2e^{sqrt(x+3)}-3 ?

The inverse of f(x)=2e^{sqrt(x+3)}-3 is ln^2((x+3)/2)-3

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inverse of f(x)=2e^{sqrt(x+3)}-3

inverse

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

ln^{2} (\frac{x + 3}{2}) - 3

Solution steps

y = 2 e^{x + 3} - 3

Replace

x

with

y

x = 2 e^{y + 3} - 3

Solve for

y, x = 2 e^{y + 3} - 3

ln^{2} (\frac{x + 3}{2}) - 3

tan (\frac{3.5}{7.59})

f (x) = x - 5 + 10

\frac{8}{7 + x ^{2}}

\frac{- 3 x + 1}{x}

f (x) = - 2 x^{2} - 3 x + 4

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