What is the inverse of f(x)=sqrt(5-2x)-3 ?

The inverse of f(x)=sqrt(5-2x)-3 is -(x^2+6x+4)/2

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inverse of f(x)=sqrt(5-2x)-3

inverse

f (x) = 5 - 2 x - 3

- \frac{x ^{2} + 6 x + 4}{2}

Solution steps

y = 5 - 2 x - 3

Replace

x

with

y

x = 5 - 2 y - 3

Solve for

y, x = 5 - 2 y - 3

- \frac{x ^{2} + 6 x + 4}{2}

f (x) = 0.5 n + 6.4

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

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

f (x) = x^{2} - 12 x, x \geq 6

What is the inverse of f(x)=sqrt(5-2x)-3 ?
The inverse of f(x)=sqrt(5-2x)-3 is -(x^2+6x+4)/2