What is the inverse of f(x)=7+sqrt(3x-6) ?

The inverse of f(x)=7+sqrt(3x-6) is (x^2-14x+55)/3

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inverse of f(x)=7+sqrt(3x-6)

inverse

f (x) = 7 + 3 x - 6

\frac{x ^{2} - 14 x + 55}{3}

Solution steps

y = 7 + 3 x - 6

Replace

x

with

y

x = 7 + 3 y - 6

Solve for

y, x = 7 + 3 y - 6

\frac{x ^{2} - 14 x + 55}{3}

f (x) = 3 x - 2

6 + 3 + x

f (x) = 12 - 2 x + \frac{5}{2}

f (x) = - lo g_{2} (x + 1) + 3

f (x) = \frac{1}{x ^{2} - x - 6}

What is the inverse of f(x)=7+sqrt(3x-6) ?
The inverse of f(x)=7+sqrt(3x-6) is (x^2-14x+55)/3