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Popular >

inverse of f(x)=5-e^{3x}

Solution

inverse

f (x) = 5 - e^{3 x}

Solution

\frac{ln ( 5 - x )}{3}

Solution steps

y = 5 - e^{3 x}

Replace

x

with

y

x = 5 - e^{3 y}

Solve for

y, x = 5 - e^{3 y}

\frac{ln ( 5 - x )}{3}

Popular Examples

inverse of f(x)=(2+ln(x))/(3-ln(x))inverse

f (x) = \frac{2 + ln ( x )}{3 - ln ( x )}

inverse of f(x)=1-sqrt(x+1)inverse

f (x) = 1 - x + 1

inverse of g(x)=1-3x inverse

g (x) = 1 - 3 x

inverse of f(x)=sqrt(x-4)+10 inverse

f (x) = x - 4 + 10

inverse of f(x)=3+sqrt(x+2)inverse

f (x) = 3 + x + 2

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5-e^{3x} ?
The inverse of f(x)=5-e^{3x} is (ln(5-x))/3