What is the inverse of f(x)=sqrt(2x-2)+3 ?

The inverse of f(x)=sqrt(2x-2)+3 is (x^2-6x+11)/2

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inverse of f(x)=sqrt(2x-2)+3

inverse

f (x) = 2 x - 2 + 3

\frac{x ^{2} - 6 x + 11}{2}

Solution steps

y = 2 x - 2 + 3

Replace

x

with

y

x = 2 y - 2 + 3

Solve for

y, x = 2 y - 2 + 3

\frac{x ^{2} - 6 x + 11}{2}

\frac{x ^{2}}{x + 2}

y = 5 x + 1

f (x) = lo g_{3} (x) - 1

f (x) = y (2) = 1

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

What is the inverse of f(x)=sqrt(2x-2)+3 ?
The inverse of f(x)=sqrt(2x-2)+3 is (x^2-6x+11)/2