What is the inverse of f(x)=4+log_{5}(x-2) ?

The inverse of f(x)=4+log_{5}(x-2) is 5^{x-4}+2

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inverse of f(x)=4+log_{5}(x-2)

inverse

f (x) = 4 + lo g_{5} (x - 2)

5^{x - 4} + 2

Solution steps

y = 4 + lo g_{5} (x - 2)

Replace

x

with

y

x = 4 + lo g_{5} (y - 2)

Solve for

y, x = 4 + lo g_{5} (y - 2)

5^{x - 4} + 2

f (x) = \frac{1}{x - 3}

f (x) = x^{2} + x + 1

(x + 2)^{2} - 4

\frac{1}{9 - x ^{2}}

f (x) = 9 x - 3

What is the inverse of f(x)=4+log_{5}(x-2) ?
The inverse of f(x)=4+log_{5}(x-2) is 5^{x-4}+2