What is the inverse of f(x)=10^{(-1*((x+5))/2)} ?

The inverse of f(x)=10^{(-1*((x+5))/2)} is -(ln(100000x^2))/(ln(10))

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inverse of f(x)=10^{(-1*((x+5))/2)}

inverse

f (x) = 1 0^{(- 1 \cdot \frac{( x + 5 )}{2})}

- \frac{ln ( 100000 x ^{2} )}{ln ( 10 )}

Solution steps

y = 1 0^{- 1 \cdot \frac{x + 5}{2}}

Replace

x

with

y

x = 1 0^{- 1 \cdot \frac{y + 5}{2}}

Solve for

y, x = 1 0^{- 1 \cdot \frac{y + 5}{2}}

- \frac{ln ( 100000 x ^{2} )}{ln ( 10 )}

f (x) = ln (x - 1)

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

[0 - 1 - 2]

y = \frac{6}{x}

y = x + 7

What is the inverse of f(x)=10^{(-1*((x+5))/2)} ?
The inverse of f(x)=10^{(-1*((x+5))/2)} is -(ln(100000x^2))/(ln(10))