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Popular >

inverse of f(x)=ln(3x+1)

Solution

inverse

f (x) = ln (3 x + 1)

Solution

\frac{e ^{x} - 1}{3}

Solution steps

y = ln (3 x + 1)

Replace

x

with

y

x = ln (3 y + 1)

Solve for

y, x = ln (3 y + 1)

\frac{e ^{x} - 1}{3}

Popular Examples

domain of f(x)=(sqrt(5+x))/(5-x)domain

f (x) = \frac{5 + x}{5 - x}

domain of x+6 domain

x + 6

intercepts of f(x)=x^2+y^2=25x^2+y^2=25 intercepts

f (x) = x^{2} + y^{2} = 25 x^{2} + y^{2} = 25

intercepts of f(x)=(4x)/((3x^2+1)^2)intercepts

f (x) = \frac{4 x}{( 3 x ^{2} + 1 ) ^{2}}

range of f(x)= x/(x^2+1)range

f (x) = \frac{x}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

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