What is the inverse of f(x)= 1/2 e^{2bx} ?

The inverse of f(x)= 1/2 e^{2bx} is (ln(2x))/(2b)

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inverse of f(x)= 1/2 e^{2bx}

inverse

f (x) = \frac{1}{2} e^{2 b x}

\frac{ln ( 2 x )}{2 b}

Solution steps

y = \frac{1}{2} e^{2 b x}

Replace

x

with

y

x = \frac{1}{2} e^{2 b y}

Solve for

y, x = \frac{1}{2} e^{2 b y}

\frac{ln ( 2 x )}{2 b}

5 ln (2 x - 7)

f (x) = \frac{4 - 1}{( x + 1 ) ^{2}}

f (x) = x (1 - x)

f (x) = \frac{2}{x - 3} - 2

f (x) = 1 + x + 2

What is the inverse of f(x)= 1/2 e^{2bx} ?
The inverse of f(x)= 1/2 e^{2bx} is (ln(2x))/(2b)