Dividing functions: $(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

# Dividing functions

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Examples

**Determine the Quotient of Two Functions and State Its Domain**

Write an expression in the simplest form for $(\frac{f}{g})(x)$

State the domain restrictions**Operations of Functions – In a Nutshell**

Consider the functions $f(x)=\frac{x}{x+5}$and $g(x)=\frac{3x}{x-2}$**Sketch the Quotient of Two Functions**

Consider the functions $f(x)=2x^2+4x-30$

$g(x)=20x-60$