What is the inverse of f(x)=3+sqrt(2x-5) ?

The inverse of f(x)=3+sqrt(2x-5) is (x^2-6x+14)/2

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inverse of f(x)=3+sqrt(2x-5)

inverse

f (x) = 3 + 2 x - 5

\frac{x ^{2} - 6 x + 14}{2}

Solution steps

y = 3 + 2 x - 5

Replace

x

with

y

x = 3 + 2 y - 5

Solve for

y, x = 3 + 2 y - 5

\frac{x ^{2} - 6 x + 14}{2}

\frac{( x + 3 )}{x + 11}

f (x) = 11.25 x + 90

f (x) = \frac{4 x - 6}{2}

f (x) = 3 + 2 x - 4

4 - 8 - 8 x, x \leq - 1

What is the inverse of f(x)=3+sqrt(2x-5) ?
The inverse of f(x)=3+sqrt(2x-5) is (x^2-6x+14)/2