What is the inverse of f(x)=2(x-3)^2-8 ?

The inverse of f(x)=2(x-3)^2-8 is sqrt((x+8)/2)+3,-sqrt((x+8)/2)+3

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inverse of f(x)=2(x-3)^2-8

inverse

f (x) = 2 (x - 3)^{2} - 8

\frac{x + 8}{2} + 3, - \frac{x + 8}{2} + 3

Solution steps

y = 2 (x - 3)^{2} - 8

Replace

x

with

y

x = 2 (y - 3)^{2} - 8

Solve for

y, x = 2 (y - 3)^{2} - 8

\frac{x + 8}{2} + 3, - \frac{x + 8}{2} + 3

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

+ lo g_{8} (x)

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

(x - 1)^{3} + 5

f (x) = 300 - 50 x

What is the inverse of f(x)=2(x-3)^2-8 ?
The inverse of f(x)=2(x-3)^2-8 is sqrt((x+8)/2)+3,-sqrt((x+8)/2)+3