Solve r = e^2 - e1 / h

Evaluate

r = e^{2} - e \times \frac{1}{h}

Simplify

More Steps

r = \frac{e ^{2} h - e}{h}

Interchange h and y

h = \frac{e ^{2} y - e}{y}

Swap the sides of the equation

\frac{e ^{2} y - e}{y} = h

Cross multiply

e^{2} y - e = y h

Simplify the equation

e^{2} y - e = h y

Move the variable to the left side

e^{2} y - e - h y = 0

Collect like terms by calculating the sum or difference of their coefficients

(e^{2} - h) y - e = 0

Move the constant to the right side

(e^{2} - h) y = 0 + e

Removing 0 doesn't change the value,so remove it from the expression

(e^{2} - h) y = e

Divide both sides

\frac{( e ^{2} - h ) y}{e ^{2} - h} = \frac{e}{e ^{2} - h}

Divide the numbers

y = \frac{e}{e ^{2} - h}

Solution

f^{- 1} (h) = \frac{e}{e ^{2} - h}

Function