What is the inverse of f(x)= 1/4 ln(x-2)+5 ?

The inverse of f(x)= 1/4 ln(x-2)+5 is e^{4x-20}+2

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inverse of f(x)= 1/4 ln(x-2)+5

inverse

f (x) = \frac{1}{4} ln (x - 2) + 5

e^{4 x - 20} + 2

Solution steps

y = \frac{1}{4} ln (x - 2) + 5

Replace

x

with

y

x = \frac{1}{4} ln (y - 2) + 5

Solve for

y, x = \frac{1}{4} ln (y - 2) + 5

e^{4 x - 20} + 2

f (x) = 5 x + 10

\frac{x + 4}{2 x - 5}

\frac{x + 5}{x + 9}

y = 13 + lo g_{10} (x)

f (x) = 2 (x - 3)

What is the inverse of f(x)= 1/4 ln(x-2)+5 ?
The inverse of f(x)= 1/4 ln(x-2)+5 is e^{4x-20}+2