What is the inverse of f(x)=2(x-4)^2 ?

The inverse of f(x)=2(x-4)^2 is sqrt(x/2)+4,-sqrt(x/2)+4

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inverse of f(x)=2(x-4)^2

inverse

f (x) = 2 (x - 4)^{2}

\frac{x}{2} + 4, - \frac{x}{2} + 4

Solution steps

y = 2 (x - 4)^{2}

Replace

x

with

y

x = 2 (y - 4)^{2}

Solve for

y, x = 2 (y - 4)^{2}

\frac{x}{2} + 4, - \frac{x}{2} + 4

f (x) = C (x, t) = 5 + 2 t

e^{2}

f (x) = \frac{1}{6} x + 3

f (x) = \frac{7 x}{x - 2}

What is the inverse of f(x)=2(x-4)^2 ?
The inverse of f(x)=2(x-4)^2 is sqrt(x/2)+4,-sqrt(x/2)+4