Solve h(t)=-5t^2 30t

Evaluate

h (t) = - 5 t^{2} \times 30 t

Simplify

More Steps

h (t) = - 150 t^{3}

In the equation for h (t),replace h (t) with y

y = - 150 t^{3}

Interchange t and y

t = - 150 y^{3}

Swap the sides of the equation

- 150 y^{3} = t

Change the signs on both sides of the equation

150 y^{3} = - t

Divide both sides

\frac{150 y ^{3}}{150} = \frac{- t}{150}

Divide the numbers

y^{3} = \frac{- t}{150}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

y^{3} = - \frac{t}{150}

Take the 3 -th root on both sides of the equation

3 y^{3} = 3 - \frac{t}{150}

Calculate

y = 3 - \frac{t}{150}

Simplify the root

More Steps

y = - \frac{3 22500 t}{150}

Solution

h^{- 1} (t) = - \frac{3 22500 t}{150}

Function