Solve q=f(p)

$$q = f ( p )$$

Solve for f

$$\left\{\begin{matrix}f=\frac{q}{p}\text{, }&p\neq 0\\f\in \mathrm{R}\text{, }&q=0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$fp=q$$

The equation is in standard form.

$$pf=q$$

Divide both sides by p.

$$\frac{pf}{p}=\frac{q}{p}$$

Dividing by p undoes the multiplication by p.

$$f=\frac{q}{p}$$

Solve for p

$$\left\{\begin{matrix}p=\frac{q}{f}\text{, }&f\neq 0\\p\in \mathrm{R}\text{, }&q=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$fp=q$$

Divide both sides by f.

$$\frac{fp}{f}=\frac{q}{f}$$

Dividing by f undoes the multiplication by f.

$$p=\frac{q}{f}$$