What is the inverse of f(x)=5+sqrt(2x-6) ?

The inverse of f(x)=5+sqrt(2x-6) is (x^2-10x+31)/2

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inverse of f(x)=5+sqrt(2x-6)

inverse

f (x) = 5 + 2 x - 6

\frac{x ^{2} - 10 x + 31}{2}

Solution steps

y = 5 + 2 x - 6

Replace

x

with

y

x = 5 + 2 y - 6

Solve for

y, x = 5 + 2 y - 6

\frac{x ^{2} - 10 x + 31}{2}

f (x) = \frac{3 x - 1}{5 x + 2}

x^{\frac{3}{7}}

f (x) = 22 x - 14

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

What is the inverse of f(x)=5+sqrt(2x-6) ?
The inverse of f(x)=5+sqrt(2x-6) is (x^2-10x+31)/2