What is the inverse of f(x)=3^{x-2}-4 ?

The inverse of f(x)=3^{x-2}-4 is (ln(x+4))/(ln(3))+2

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inverse of f(x)=3^{x-2}-4

inverse

f (x) = 3^{x - 2} - 4

\frac{ln ( x + 4 )}{ln ( 3 )} + 2

Solution steps

y = 3^{x - 2} - 4

Replace

x

with

y

x = 3^{y - 2} - 4

Solve for

y, x = 3^{y - 2} - 4

\frac{ln ( x + 4 )}{ln ( 3 )} + 2

0.5 cos (6 x)

f (x) = \frac{1}{2} e^{2 b x}

5 ln (2 x - 7)

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

f (x) = x (1 - x)

What is the inverse of f(x)=3^{x-2}-4 ?
The inverse of f(x)=3^{x-2}-4 is (ln(x+4))/(ln(3))+2