What is the inverse of f(x)=(3+e^{2x})/5 ?

The inverse of f(x)=(3+e^{2x})/5 is (ln(x*5-3))/2

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inverse of f(x)=(3+e^{2x})/5

inverse

f (x) = \frac{3 + e ^{2 x}}{5}

\frac{ln ( x \cdot 5 - 3 )}{2}

Solution steps

y = \frac{3 + e ^{2 x}}{5}

Replace

x

with

y

x = \frac{3 + e ^{2 y}}{5}

Solve for

y, x = \frac{3 + e ^{2 y}}{5}

\frac{ln ( x \cdot 5 - 3 )}{2}

\frac{2}{8}

f (x) = \frac{7}{x + 1} - 9

f (x) = \frac{1 + 2 x}{6 - 5 x}

f (x) = \frac{8 x}{5 x - 1}

What is the inverse of f(x)=(3+e^{2x})/5 ?
The inverse of f(x)=(3+e^{2x})/5 is (ln(x*5-3))/2