What is the inverse of f(x)=10sqrt(x-8)+2 ?

The inverse of f(x)=10sqrt(x-8)+2 is (x^2)/(100)+(-x+1)/(25)+8

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inverse of f(x)=10sqrt(x-8)+2

inverse

f (x) = 10 x - 8 + 2

\frac{x ^{2}}{100} + \frac{- x + 1}{25} + 8

Solution steps

y = 10 x - 8 + 2

Replace

x

with

y

x = 10 y - 8 + 2

Solve for

y, x = 10 y - 8 + 2

\frac{x ^{2}}{100} + \frac{- x + 1}{25} + 8

x^{2} - 4

h (x) = \frac{4}{x - 1}

\frac{x}{∣ x ∣}

(- 1, 2), (4, 1)

\frac{9 x - 3}{x - 1}

What is the inverse of f(x)=10sqrt(x-8)+2 ?
The inverse of f(x)=10sqrt(x-8)+2 is (x^2)/(100)+(-x+1)/(25)+8