What is the inverse of f(x)=6+sqrt(2x-4) ?

The inverse of f(x)=6+sqrt(2x-4) is (x^2-12x+40)/2

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inverse of f(x)=6+sqrt(2x-4)

inverse

f (x) = 6 + 2 x - 4

\frac{x ^{2} - 12 x + 40}{2}

Solution steps

y = 6 + 2 x - 4

Replace

x

with

y

x = 6 + 2 y - 4

Solve for

y, x = 6 + 2 y - 4

\frac{x ^{2} - 12 x + 40}{2}

y = x^{2} + 8 x

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

f (x) = 10239 e - 9.304

tan (\frac{π}{4})

- \frac{6 x}{7} + \frac{32}{7}

What is the inverse of f(x)=6+sqrt(2x-4) ?
The inverse of f(x)=6+sqrt(2x-4) is (x^2-12x+40)/2