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

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

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

inverse

f (x) = 6 + 3 x + 6

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

Solution steps

y = 6 + 3 x + 6

Replace

x

with

y

x = 6 + 3 y + 6

Solve for

y, x = 6 + 3 y + 6

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

1 - ln (1 + e^{x})

e^{- \frac{x ^{2}}{2}}

- 7 x + 3

lo g_{\frac{1}{2}} (x + 1) + 4

f (x) = 5 - \frac{x}{3 x - 4}

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