What is the inverse of f(x)=-(0.4)^{x-6} ?

The inverse of f(x)=-(0.4)^{x-6} is (ln(-x))/(ln(0.4))+6

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inverse of f(x)=-(0.4)^{x-6}

inverse

f (x) = - (0.4)^{x - 6}

\frac{ln ( - x )}{ln ( 0.4 )} + 6

Solution steps

y = - 0. 4^{x - 6}

Replace

x

with

y

x = - 0. 4^{y - 6}

Solve for

y, x = - 0. 4^{y - 6}

\frac{ln ( - x )}{ln ( 0.4 )} + 6

f (x) = \frac{2}{x ^{2} - 2 x - 3}

f (x) = 8 + 9 x

- 4 x + 3

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

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

What is the inverse of f(x)=-(0.4)^{x-6} ?
The inverse of f(x)=-(0.4)^{x-6} is (ln(-x))/(ln(0.4))+6