What is the inverse of f(x)=-sqrt(3-2x)-7 ?

The inverse of f(x)=-sqrt(3-2x)-7 is -(x^2+14x+46)/2

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inverse of f(x)=-sqrt(3-2x)-7

inverse

f (x) = - 3 - 2 x - 7

- \frac{x ^{2} + 14 x + 46}{2}

Solution steps

y = - 3 - 2 x - 7

Replace

x

with

y

x = - 3 - 2 y - 7

Solve for

y, x = - 3 - 2 y - 7

- \frac{x ^{2} + 14 x + 46}{2}

s l o p e y = 4 x - 8

cr i t i c a l f (x) = (x - 2)^{\frac{2}{3}}

in v erse f (x) = x^{2} + 2 x + 6

in t erce pt s f (x) = - 4 x^{2} + 2 x + 4

in t erce pt s \frac{x ^{2} - 4}{x + 2}

What is the inverse of f(x)=-sqrt(3-2x)-7 ?
The inverse of f(x)=-sqrt(3-2x)-7 is -(x^2+14x+46)/2