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Popular >

inverse of f(x)=λe^{λx}

Solution

inverse

f (x) = λ \cdot e^{λ \cdot x}

Solution

\frac{ln ( \frac{x}{λ} )}{λ}

Solution steps

y = λ e^{λ x}

Replace

x

with

y

x = λ e^{λ y}

Solve for

y, x = λ \cdot e^{λ \cdot y}

\frac{ln ( \frac{x}{λ} )}{λ}

Graph

Popular Examples

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

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

inverse of log_{10}(x+3)+2 inverse

lo g_{10} (x + 3) + 2

inverse of (8x+9)/(2x+4)inverse

\frac{8 x + 9}{2 x + 4}

inverse of 2^x+5 inverse

2^{x} + 5

inverse of f(x)=6x^3-9 inverse

f (x) = 6 x^{3} - 9

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=λ*e^{λ*x} ?
The inverse of f(x)=λ*e^{λ*x} is (ln(x/λ))/λ