What is the inverse of f(x)=-3^{(x-7)}+8.1 ?

The inverse of f(x)=-3^{(x-7)}+8.1 is (ln(8.1-x))/(ln(3))+7

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inverse of f(x)=-3^{(x-7)}+8.1

inverse

f (x) = - 3^{(x - 7)} + 8.1

\frac{ln ( 8.1 - x )}{ln ( 3 )} + 7

Solution steps

y = - 3^{x - 7} + 8.1

Replace

x

with

y

x = - 3^{y - 7} + 8.1

Solve for

y, x = - 3^{y - 7} + 8.1

\frac{ln ( 8.1 - x )}{ln ( 3 )} + 7

f (A) = 2 π r^{2} + 8 π r

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

f (x) = lo g_{3} (x^{4})

f (x) = 2 (3 x - 1) + 4

What is the inverse of f(x)=-3^{(x-7)}+8.1 ?
The inverse of f(x)=-3^{(x-7)}+8.1 is (ln(8.1-x))/(ln(3))+7