What is the inverse of f(x)=-3sqrt(x+2)-6 ?

The inverse of f(x)=-3sqrt(x+2)-6 is (4x)/3+(x^2)/9+2

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inverse of f(x)=-3sqrt(x+2)-6

inverse

f (x) = - 3 x + 2 - 6

\frac{4 x}{3} + \frac{x ^{2}}{9} + 2

Solution steps

y = - 3 x + 2 - 6

Replace

x

with

y

x = - 3 y + 2 - 6

Solve for

y, x = - 3 y + 2 - 6

\frac{4 x}{3} + \frac{x ^{2}}{9} + 2

\frac{x - 4}{3 x - x ^{2}}

a^{2} x + 5 y = - 3

f (x) = \frac{( 4 + 3 x )}{2 x}

\frac{4}{2 x + 5}

f (x) = 5 x + 33 y = - 15

What is the inverse of f(x)=-3sqrt(x+2)-6 ?
The inverse of f(x)=-3sqrt(x+2)-6 is (4x)/3+(x^2)/9+2