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

The inverse of f(x)=sqrt(3x+6)+6 is (x^2-12x+30)/3

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

inverse

f (x) = 3 x + 6 + 6

\frac{x ^{2} - 12 x + 30}{3}

Solution steps

y = 3 x + 6 + 6

Replace

x

with

y

x = 3 y + 6 + 6

Solve for

y, x = 3 y + 6 + 6

\frac{x ^{2} - 12 x + 30}{3}

f (x) = \frac{1}{5} x^{3}

3 x - 11

g (x) = 2 (3)^{x}

f (x) = 8 x^{3} - 3

f (x) = 13 cos (x)

What is the inverse of f(x)=sqrt(3x+6)+6 ?
The inverse of f(x)=sqrt(3x+6)+6 is (x^2-12x+30)/3