What is the inverse of f(x)=5-2(x-1)^2 ?

The inverse of f(x)=5-2(x-1)^2 is sqrt(-(x-5)/2)+1,-sqrt(-(x-5)/2)+1

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inverse of f(x)=5-2(x-1)^2

inverse

f (x) = 5 - 2 (x - 1)^{2}

- \frac{x - 5}{2} + 1, - - \frac{x - 5}{2} + 1

Solution steps

y = 5 - 2 (x - 1)^{2}

Replace

x

with

y

x = 5 - 2 (y - 1)^{2}

Solve for

y, x = 5 - 2 (y - 1)^{2}

- \frac{x - 5}{2} + 1, - - \frac{x - 5}{2} + 1

What is the inverse of f(x)=5-2(x-1)^2 ?
The inverse of f(x)=5-2(x-1)^2 is sqrt(-(x-5)/2)+1,-sqrt(-(x-5)/2)+1