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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

inverse of f(x)=(12-2n)/3 inverse

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f (x) = lo g_{2} (a x - 8)

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inverse of (7x+6)/(x-5)inverse

\frac{7 x + 6}{x - 5}

Frequently Asked Questions (FAQ)

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