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

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

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inverse of f(x)=2(x-5)^2+3

inverse

f (x) = 2 (x - 5)^{2} + 3

\frac{x - 3}{2} + 5, - \frac{x - 3}{2} + 5

Solution steps

y = 2 (x - 5)^{2} + 3

Replace

x

with

y

x = 2 (y - 5)^{2} + 3

Solve for

y, x = 2 (y - 5)^{2} + 3

\frac{x - 3}{2} + 5, - \frac{x - 3}{2} + 5

2^{x + 1} - 2

\frac{2}{x + 5}

y = - csc (\frac{8}{9} x)

f (x) = x - \frac{5}{3}

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