What is the inverse of f(x)=2.7^{(x-7.2)}+2.9 ?

The inverse of f(x)=2.7^{(x-7.2)}+2.9 is (ln(x-2.9))/(ln(2.7))+7.2

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inverse of f(x)=2.7^{(x-7.2)}+2.9

inverse

f (x) = 2. 7^{(x - 7.2)} + 2.9

\frac{ln ( x - 2.9 )}{ln ( 2.7 )} + 7.2

Solution steps

y = 2. 7^{x - 7.2} + 2.9

Replace

x

with

y

x = 2. 7^{y - 7.2} + 2.9

Solve for

y, x = 2. 7^{y - 7.2} + 2.9

\frac{ln ( x - 2.9 )}{ln ( 2.7 )} + 7.2

f (x) = x + 1 - 7

- 4 x^{2} - 2

3 x - 1

\frac{x + 8}{x - 3}

What is the inverse of f(x)=2.7^{(x-7.2)}+2.9 ?
The inverse of f(x)=2.7^{(x-7.2)}+2.9 is (ln(x-2.9))/(ln(2.7))+7.2