What is the inverse of f(x)=-2(x+5)^2+11 ?

The inverse of f(x)=-2(x+5)^2+11 is sqrt(-(x-11)/2)-5,-sqrt(-(x-11)/2)-5

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inverse of f(x)=-2(x+5)^2+11

inverse

f (x) = - 2 (x + 5)^{2} + 11

- \frac{x - 11}{2} - 5, - - \frac{x - 11}{2} - 5

Solution steps

y = - 2 (x + 5)^{2} + 11

Replace

x

with

y

x = - 2 (y + 5)^{2} + 11

Solve for

y, x = - 2 (y + 5)^{2} + 11

- \frac{x - 11}{2} - 5, - - \frac{x - 11}{2} - 5

What is the inverse of f(x)=-2(x+5)^2+11 ?
The inverse of f(x)=-2(x+5)^2+11 is sqrt(-(x-11)/2)-5,-sqrt(-(x-11)/2)-5