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Popular >

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

Solution

inverse

f (x) = e^{2 x - 1}

Solution

\frac{ln ( x ) + 1}{2}

Solution steps

y = e^{2 x - 1}

Replace

x

with

y

x = e^{2 y - 1}

Solve for

y, x = e^{2 y - 1}

\frac{ln ( x ) + 1}{2}

Popular Examples

inflection f(x)= x/(x^2+49)inflection points

f (x) = \frac{x}{x ^{2} + 49}

extreme f(x)=-x^3+9x^2 extreme points

f (x) = - x^{3} + 9 x^{2}

domain of f(x)=sqrt(x^2+x+2)domain

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

inverse of f(x)=x^5=2x^3=x-1 inverse

f (x) = x^{5} = 2 x^{3} = x - 1

domain of f(x)=\sqrt[3]{2x+6}domain

Frequently Asked Questions (FAQ)

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