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Popular >

inverse of f(x)=4e^{5x+1}

Solution

inverse

f (x) = 4 e^{5 x + 1}

Solution

\frac{ln ( \frac{x}{4} ) - 1}{5}

Solution steps

y = 4 e^{5 x + 1}

Replace

x

with

y

x = 4 e^{5 y + 1}

Solve for

y, x = 4 e^{5 y + 1}

\frac{ln ( \frac{x}{4} ) - 1}{5}

Popular Examples

inverse of sqrt(x+5)inverse

x + 5

domain of f(x)= 1/(x+3)domain

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

range of (8x+9)/(x+8)range

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

critical 1/4 x^4-1/3 x^3-3x^2 critical points

\frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 3 x^{2}

extreme (2x)/(x^2-1)extreme points

\frac{2 x}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=4e^{5x+1} ?
The inverse of f(x)=4e^{5x+1} is (ln(x/4)-1)/5