What is the inverse of f(x)=e^{((5-x)*ln(0.2))/5} ?

The inverse of f(x)=e^{((5-x)*ln(0.2))/5} is -(5ln(x)-5ln(0.2))/(ln(0.2))

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inverse of f(x)=e^{((5-x)*ln(0.2))/5}

inverse

f (x) = e^{\frac{( 5 - x ) \cdot l n ( 0.2 )}{5}}

- \frac{5 ln ( x ) - 5 ln ( 0.2 )}{ln ( 0.2 )}

Solution steps

y = e^{\frac{( 5 - x ) l n ( 0.2 )}{5}}

Replace

x

with

y

x = e^{\frac{( 5 - y ) l n ( 0.2 )}{5}}

Solve for

y, x = e^{\frac{( 5 - y ) \cdot l n ( 0.2 )}{5}}

- \frac{5 ln ( x ) - 5 ln ( 0.2 )}{ln ( 0.2 )}

f (x) = 15 x^{2} + 8

q (x) = 6 x - 4

0.975

ln (x - 1) + 1

f (x) = - \frac{1}{6} x^{2} + 4 x + 10

What is the inverse of f(x)=e^{((5-x)*ln(0.2))/5} ?
The inverse of f(x)=e^{((5-x)*ln(0.2))/5} is -(5ln(x)-5ln(0.2))/(ln(0.2))