Solve y=f(x+4)

$$y = f ( x + 4 )$$

Solve for f

$$\left\{\begin{matrix}f=\frac{y}{x+4}\text{, }&x\neq -4\\f\in \mathrm{R}\text{, }&y=0\text{ and }x=-4\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply f by x+4.

$$y=fx+4f$$

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

$$fx+4f=y$$

Combine all terms containing f.

$$\left(x+4\right)f=y$$

Divide both sides by x+4.

$$\frac{\left(x+4\right)f}{x+4}=\frac{y}{x+4}$$

Dividing by x+4 undoes the multiplication by x+4.

$$f=\frac{y}{x+4}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{f}-4\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply f by x+4.

$$y=fx+4f$$

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

$$fx+4f=y$$

Subtract 4f from both sides.

$$fx=y-4f$$

Divide both sides by f.

$$\frac{fx}{f}=\frac{y-4f}{f}$$

Dividing by f undoes the multiplication by f.

$$x=\frac{y-4f}{f}$$

Divide y-4f by f.

$$x=\frac{y}{f}-4$$