What is the inverse of f(x)=5sqrt(x-2)+2 ?

The inverse of f(x)=5sqrt(x-2)+2 is (x^2-4x+4)/(25)+2

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inverse of f(x)=5sqrt(x-2)+2

inverse

f (x) = 5 x - 2 + 2

\frac{x ^{2} - 4 x + 4}{25} + 2

Solution steps

y = 5 x - 2 + 2

Replace

x

with

y

x = 5 y - 2 + 2

Solve for

y, x = 5 y - 2 + 2

\frac{x ^{2} - 4 x + 4}{25} + 2

f (x) = \frac{2 x - 8}{1 - 7 x} - 10

g (x) = \frac{x}{5} - 8

\frac{6 x}{5} + 3

f (x) = 3 x + 1

110

What is the inverse of f(x)=5sqrt(x-2)+2 ?
The inverse of f(x)=5sqrt(x-2)+2 is (x^2-4x+4)/(25)+2