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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{3}{1 - 6 x}

f (x) = \frac{4 x - 7}{5}

f (x) = \frac{8}{2} + 8

ln (\frac{1 - x}{e})

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