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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 f(x)= 2/(x^2-9)domain

f (x) = \frac{2}{x ^{2} - 9}

asymptotes of f(x)=x+5 asymptotes

f (x) = x + 5

asymptotes of (2+x)/(x^2(1-x))asymptotes

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

domain of f(x)=(e^{sqrt(1-2x)})/(x^2-9)domain

f (x) = \frac{e ^{1 - 2 x}}{x ^{2} - 9}

extreme f(x)=x^3-9x^2+15 extreme points

f (x) = x^{3} - 9 x^{2} + 15

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