Inequalities of combined functions  Inequalities
Inequalities of combined functions
Lessons
Notes:
Difference function:
Quotient function:

1.
Evaluating Inequalities of Combined Functions by Comparing the Functions Graphically
Let $f(x) = 2x^{2}$ and $g(x) = 3x + 2$.

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

3.
Let $f(x) = (x3)(x+5)$ and $g(x) = (x+1)(x4)$

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

5.
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.