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

The inverse of f(x)=5+sqrt(2x-2) is (x^2-10x+27)/2

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

inverse

f (x) = 5 + 2 x - 2

\frac{x ^{2} - 10 x + 27}{2}

Solution steps

y = 5 + 2 x - 2

Replace

x

with

y

x = 5 + 2 y - 2

Solve for

y, x = 5 + 2 y - 2

\frac{x ^{2} - 10 x + 27}{2}

f (x) = \frac{4 x + 8}{x - 7}

f (x) = \frac{x + 5}{x + 1}

f (x) = x^{4} + 2 x^{2} + 1

6 mod 13

f (x) = 4 x^{2} - 8 x + 3

What is the inverse of f(x)=5+sqrt(2x-2) ?
The inverse of f(x)=5+sqrt(2x-2) is (x^2-10x+27)/2