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

The inverse of f(x)=-2sqrt(x+2)-6 is 3x+(x^2)/4+7

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

inverse

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

3 x + \frac{x ^{2}}{4} + 7

Solution steps

y = - 2 x + 2 - 6

Replace

x

with

y

x = - 2 y + 2 - 6

Solve for

y, x = - 2 y + 2 - 6

3 x + \frac{x ^{2}}{4} + 7

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

g (x) = \frac{2}{x - 3}

f (x) = \frac{5 x - 2}{4}

f (x) = 3 (2^{4 x - 5})

\frac{5}{2 x + 1}

What is the inverse of f(x)=-2sqrt(x+2)-6 ?
The inverse of f(x)=-2sqrt(x+2)-6 is 3x+(x^2)/4+7