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Popular >

inverse of f(x)=5ln((x+3)/2)

Solution

inverse

f (x) = 5 ln (\frac{x + 3}{2})

Solution

e^{\frac{x}{5}} \cdot 2 - 3

Solution steps

y = 5 ln (\frac{x + 3}{2})

Replace

x

with

y

x = 5 ln (\frac{y + 3}{2})

Solve for

y, x = 5 ln (\frac{y + 3}{2})

e^{\frac{x}{5}} \cdot 2 - 3

Popular Examples

inverse of f(x)=(2x)/(4x-5)inverse

f (x) = \frac{2 x}{4 x - 5}

inverse of f(x)=(x+2)/(x-9)inverse

f (x) = \frac{x + 2}{x - 9}

inverse of f(x)=(-16+x)/4 inverse

f (x) = \frac{- 16 + x}{4}

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

f (x) = 5 e^{\frac{x}{3}}

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

f (x) = 2 e^{3 x}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5ln((x+3)/2) ?
The inverse of f(x)=5ln((x+3)/2) is e^{x/5}*2-3