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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{1}{2 x + 4}

\frac{4 x ^{2} + 4}{x ^{2} + 6 x + 9}

f (x) = \frac{1}{4} x^{6} - 5 x^{2}

e^{x + 1} - 3

y = \frac{3}{4} x

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