Solve f^-1(2)=y

$${ f }^{ -1 } (2) = y$$

Solve for f

$$f=\frac{2}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Reorder the terms.

$$2\times \frac{1}{f}=y$$

Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by f.

$$2\times 1=yf$$

Multiply 2 and 1 to get 2.

$$2=yf$$

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

$$yf=2$$

Divide both sides by y.

$$\frac{yf}{y}=\frac{2}{y}$$

Dividing by y undoes the multiplication by y.

$$f=\frac{2}{y}$$

Variable f cannot be equal to 0.

$$f=\frac{2}{y}\text{, }f\neq 0$$

Solve for y

$$y=\frac{2}{f}$$

$$f\neq 0$$