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

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

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inverse of f(x)=((5x^2))/2

inverse

f (x) = \frac{( 5 x ^{2} )}{2}

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

Solution steps

y = \frac{5 x ^{2}}{2}

Replace

x

with

y

x = \frac{5 y ^{2}}{2}

Solve for

y, x = \frac{5 y ^{2}}{2}

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

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