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Popular >

inverse of f(x)=3e^{2x}+1

Solution

inverse

f (x) = 3 e^{2 x} + 1

Solution

\frac{ln ( \frac{x - 1}{3} )}{2}

Solution steps

y = 3 e^{2 x} + 1

Replace

x

with

y

x = 3 e^{2 y} + 1

Solve for

y, x = 3 e^{2 y} + 1

\frac{ln ( \frac{x - 1}{3} )}{2}

Popular Examples

asymptotes of f(x)=(x^2)/(x^2+3)asymptotes

f (x) = \frac{x ^{2}}{x ^{2} + 3}

perpendicular-3+4y=10 perpendicular

- 3 + 4 y = 10

line (1.5,9),(3.5,13)line

(1.5, 9), (3.5, 13)

slope of y=6x-x^2,(1,5)slope

y = 6 x - x^{2}, (1, 5)

asymptotes of f(x)= 4/((x-2)(x+2))asymptotes

f (x) = \frac{4}{( x - 2 ) ( x + 2 )}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3e^{2x}+1 ?
The inverse of f(x)=3e^{2x}+1 is (ln((x-1)/3))/(2)