Solve h(r)=r^2 11r-26

Evaluate

h (r) = r^{2} \times 11 r - 26

Simplify

More Steps

h (r) = 11 r^{3} - 26

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

y = 11 r^{3} - 26

Interchange r and y

r = 11 y^{3} - 26

Swap the sides of the equation

11 y^{3} - 26 = r

Move the constant to the right-hand side and change its sign

11 y^{3} = r + 26

Divide both sides

\frac{11 y ^{3}}{11} = \frac{r + 26}{11}

Divide the numbers

y^{3} = \frac{r + 26}{11}

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

3 y^{3} = 3 \frac{r + 26}{11}

Calculate

y = 3 \frac{r + 26}{11}

Simplify the root

More Steps

y = \frac{3 121 r + 3146}{11}

Solution

h^{- 1} (r) = \frac{3 121 r + 3146}{11}

Function