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

The inverse of f(x)=10+sqrt(2x-2) is (x^2-20x+102)/2

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

inverse

f (x) = 10 + 2 x - 2

\frac{x ^{2} - 20 x + 102}{2}

Solution steps

y = 10 + 2 x - 2

Replace

x

with

y

x = 10 + 2 y - 2

Solve for

y, x = 10 + 2 y - 2

\frac{x ^{2} - 20 x + 102}{2}

9 + 4 x - 4

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

f (x) = e^{a r c t a n (x^{2} + 1)}

f (x) = \frac{- 4}{2 x + 3}

f (x) = 3 cos (\frac{π}{3} (x - 5)) + 2

What is the inverse of f(x)=10+sqrt(2x-2) ?
The inverse of f(x)=10+sqrt(2x-2) is (x^2-20x+102)/2