Solve f(x)/g(x)=1

$$\frac { f ( x ) } { g ( x ) } = 1$$

Solve for f

$$f=g$$

$$g\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by gx.

$$fx=gx$$

The equation is in standard form.

$$xf=gx$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{gx}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{gx}{x}$$

Divide gx by x.

$$f=g$$

Solve for g

$$g=f$$

$$f\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

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

$$fx=gx$$

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

$$gx=fx$$

The equation is in standard form.

$$xg=fx$$

Divide both sides by x.

$$\frac{xg}{x}=\frac{fx}{x}$$

Dividing by x undoes the multiplication by x.

$$g=\frac{fx}{x}$$

Divide fx by x.

$$g=f$$

Variable g cannot be equal to 0.

$$g=f\text{, }g\neq 0$$