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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

monotone 2x^3+6x^2+3 monotone intervals

2 x^{3} + 6 x^{2} + 3

intercepts of y=(x^2-3x+2)/(x^2+1)intercepts

y = \frac{x ^{2} - 3 x + 2}{x ^{2} + 1}

asymptotes of f(x)=(x^2-25)/(-2x^2+9x+5)asymptotes

f (x) = \frac{x ^{2} - 25}{- 2 x ^{2} + 9 x + 5}

inverse of f(x)=(12)/x+7 inverse

f (x) = \frac{12}{x} + 7

range of 2/(x^2+2)range

\frac{2}{x ^{2} + 2}

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