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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = e^{3 x} + 1

Replace

x

with

y

x = e^{3 y} + 1

Solve for

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

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

Popular Examples

parity x^3-3x^2-4x+12 parity

x^{3} - 3 x^{2} - 4 x + 12

inflection f(x)=2x^3+3x^2-180x inflection points

f (x) = 2 x^{3} + 3 x^{2} - 180 x

range of f(x)= x/(9-x)range

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

range of y=|x|range

y = ∣ x ∣

inverse of f(x)=x-7 inverse

f (x) = x - 7

Frequently Asked Questions (FAQ)

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