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Popular >

inverse of f(x)=e^{2x-3}

Solution

inverse

f (x) = e^{2 x - 3}

Solution

\frac{ln ( x ) + 3}{2}

Solution steps

y = e^{2 x - 3}

Replace

x

with

y

x = e^{2 y - 3}

Solve for

y, x = e^{2 y - 3}

\frac{ln ( x ) + 3}{2}

Popular Examples

domain of (sqrt(x))/(9x^2+8x-1)domain

\frac{x}{9 x ^{2} + 8 x - 1}

asymptotes of f(x)=(x-12)/(x+19)asymptotes

f (x) = \frac{x - 12}{x + 19}

symmetry x^2-4x-12 symmetry

x^{2} - 4 x - 12

asymptotes of 2/x asymptotes

\frac{2}{x}

line (-6,-1),(5,-5)line

(- 6, - 1), (5, - 5)

Frequently Asked Questions (FAQ)

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