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Popular >

inverse of f(x)=5e^{x-2}

Solution

inverse

f (x) = 5 e^{x - 2}

Solution

ln (\frac{x}{5}) + 2

Solution steps

y = 5 e^{x - 2}

Replace

x

with

y

x = 5 e^{y - 2}

Solve for

y, x = 5 e^{y - 2}

ln (\frac{x}{5}) + 2

Popular Examples

inverse of f(x)= 9/(x-1)inverse

f (x) = \frac{9}{x - 1}

inverse of f(x)=-sqrt(x+5)-2 inverse

f (x) = - x + 5 - 2

inverse of f(x)=(8-x^2)/5 inverse

f (x) = \frac{8 - x ^{2}}{5}

inverse of g(x)=(7x+3)/(x-5)inverse

g (x) = \frac{7 x + 3}{x - 5}

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

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

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5e^{x-2} ?
The inverse of f(x)=5e^{x-2} is ln(x/5)+2