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Popular >

inverse of f(x)=e^{3x-1}

Solution

inverse

f (x) = e^{3 x - 1}

Solution

\frac{ln ( x ) + 1}{3}

Solution steps

y = e^{3 x - 1}

Replace

x

with

y

x = e^{3 y - 1}

Solve for

y, x = e^{3 y - 1}

\frac{ln ( x ) + 1}{3}

Popular Examples

inverse of f(x)=(3x)/(2x-1)inverse

f (x) = \frac{3 x}{2 x - 1}

inverse of sqrt(3x+6)inverse

3 x + 6

inverse of f(x)=((x+3)^{1/3})/8 inverse

f (x) = \frac{( x + 3 ) ^{\frac{1}{3}}}{8}

inverse of f(x)=sqrt(5x+3)inverse

f (x) = 5 x + 3

inverse of f(x)=ln(1+e^{2x})inverse

f (x) = ln (1 + e^{2 x})

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{3x-1} ?
The inverse of f(x)=e^{3x-1} is (ln(x)+1)/3