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

The inverse of f(x)=3^{(-x+5)/3} is -(3ln(x)-5ln(3))/(ln(3))

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

inverse

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

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

Solution steps

y = 3^{\frac{- x + 5}{3}}

Replace

x

with

y

x = 3^{\frac{- y + 5}{3}}

Solve for

y, x = 3^{\frac{- y + 5}{3}}

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

f (x) = 2 x^{2} + 5 x - 3

g (x) = \frac{x - 3}{( 5 x - 8 )}

\frac{3 s}{s ^{2} - s - 6}

8 - 2 x

6 x^{3} + 2

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