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}

f (x) = - 4 - 2 x

f (x) = 35 - 0.7 x

f (x) = \frac{x}{9} + 12

f (x) = \frac{3}{- 2 x + 5}

f (x) = 1 x

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)