What is the inverse of f(x)=4(x-11)^2 ?

The inverse of f(x)=4(x-11)^2 is (sqrt(x))/2+11,-(sqrt(x))/2+11

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inverse of f(x)=4(x-11)^2

inverse

f (x) = 4 (x - 11)^{2}

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

Solution steps

y = 4 (x - 11)^{2}

Replace

x

with

y

x = 4 (y - 11)^{2}

Solve for

y, x = 4 (y - 11)^{2}

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

f (x) = 4 - \frac{1}{3} x

x^{2} ln (\frac{x}{8})

\frac{4 x}{x - 3}

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

f (x) = 5 x^{2} - 15 x

What is the inverse of f(x)=4(x-11)^2 ?
The inverse of f(x)=4(x-11)^2 is (sqrt(x))/2+11,-(sqrt(x))/2+11