What is the inverse of y=2(x-5)^2-6 ?

The inverse of y=2(x-5)^2-6 is sqrt((x+6)/2)+5,-sqrt((x+6)/2)+5

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inverse of y=2(x-5)^2-6

inverse

y = 2 (x - 5)^{2} - 6

\frac{x + 6}{2} + 5, - \frac{x + 6}{2} + 5

Solution steps

y = 2 (x - 5)^{2} - 6

Replace

x

with

y

x = 2 (y - 5)^{2} - 6

Solve for

y, x = 2 (y - 5)^{2} - 6

\frac{x + 6}{2} + 5, - \frac{x + 6}{2} + 5

f (x) = \frac{2 ( x + 1 )}{4 - x}

g (x) = \frac{5 x - 1}{4 x + 7}

f (x) = \frac{( x - 2000 )}{100}

f (x) = arcsin (3 x - 1)

f (x) = \frac{2 x + 1}{x - 1}, x \neq = 1

What is the inverse of y=2(x-5)^2-6 ?
The inverse of y=2(x-5)^2-6 is sqrt((x+6)/2)+5,-sqrt((x+6)/2)+5