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Popular >

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

Solution

inverse

f (x) = (e^{x} - e)^{\frac{1}{3}}

Solution

ln (x^{3} + e)

Solution steps

y = (e^{x} - e)^{\frac{1}{3}}

Replace

x

with

y

x = (e^{y} - e)^{\frac{1}{3}}

Solve for

y, x = (e^{y} - e)^{\frac{1}{3}}

ln (x^{3} + e)

Popular Examples

inverse of (6x+5)/(5x-8)inverse

\frac{6 x + 5}{5 x - 8}

inverse of f(x)=10x^3+6 inverse

f (x) = 10 x^{3} + 6

inverse of f(x)=ln(-(x-5)/2)+1 inverse

f (x) = ln (- \frac{x - 5}{2}) + 1

inverse of f(x)=(x^2+1)/(x^2+5)inverse

f (x) = \frac{x ^{2} + 1}{x ^{2} + 5}

inverse of 3x^2+4x+7 inverse

3 x^{2} + 4 x + 7

Frequently Asked Questions (FAQ)

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