What is the inverse of f(x)=-sqrt(2x+6)-4 ?

The inverse of f(x)=-sqrt(2x+6)-4 is (x^2+8x+10)/2

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inverse of f(x)=-sqrt(2x+6)-4

inverse

f (x) = - 2 x + 6 - 4

\frac{x ^{2} + 8 x + 10}{2}

Solution steps

y = - 2 x + 6 - 4

Replace

x

with

y

x = - 2 y + 6 - 4

Solve for

y, x = - 2 y + 6 - 4

\frac{x ^{2} + 8 x + 10}{2}

y = \frac{2 x + 3}{x - 1}

y = 3 x^{2} + 18

y = 1.4 x + 17.2

- \frac{5}{2 t t}

y = - 3 x - 53

What is the inverse of f(x)=-sqrt(2x+6)-4 ?
The inverse of f(x)=-sqrt(2x+6)-4 is (x^2+8x+10)/2