# Inequalities of combined functions

##### Intros

###### Lessons

##### Examples

###### Lessons

**Evaluating Inequalities of Combined Functions by Comparing the Functions Graphically**Let $f(x) = 2x^{2}$ and $g(x) = 3x + 2$.

**Evaluating Inequalities of Combined Functions by Analyzing the Difference Function**Let $f(x) = 2x^{2} + x - 3$ and $g(x) = x^{2} + x + 13$.

- Let $f(x) = (x-3)(x+5)$ and $g(x) = (x+1)(x-4)$
**Evaluating Inequalities of Combined Functions by Analyzing the Quotient Function**Let $f(x) = (x+3)^{6}$ and $g(x) = (x+3)^{4}$

**Application of Inequalities of Combined Functions**Nick is starting his own phone company. The cost of making and storing phones can be modelled by the function:

$C(n) = 1.2n + \frac{150,000}{n}$ where $n$ = number of phones. The storage capacity of the company's warehouse is 500 units.

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###### Topic Notes

Difference function:

Quotient function:

2

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