Inequalities of combined functions - Inequalities

Do better in math today
Get Started Now

Inequalities Topics:

Inequalities of combined functions

Lessons

Notes:

Difference function:

f(x)f(x) > g(x)g(x) →f(x)−g(x) f(x) - g (x) > 00

Quotient function:

f(x)f(x) > g(x)g(x) →f(x)g(x) \frac{f(x)}{g(x)} > 11

  • 1.
    Evaluating Inequalities of Combined Functions by Comparing the Functions Graphically

    Let f(x)=2x2f(x) = 2x^{2} and g(x)=3x+2g(x) = 3x + 2.

  • 2.
    Evaluating Inequalities of Combined Functions by Analyzing the Difference Function

    Let f(x)=2x2+x−3f(x) = 2x^{2} + x - 3 and g(x)=x2+x+13g(x) = x^{2} + x + 13.

  • 3.
    Let f(x)=(x−3)(x+5)f(x) = (x-3)(x+5) and g(x)=(x+1)(x−4)g(x) = (x+1)(x-4)
  • 4.
    Evaluating Inequalities of Combined Functions by Analyzing the Quotient Function

    Let f(x)=(x+3)6f(x) = (x+3)^{6} and g(x)=(x+3)4g(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+150,000nC(n) = 1.2n + \frac{150,000}{n}

    where nn = number of phones. The storage capacity of the company’s warehouse is 500 units.

Teacher pug

Inequalities of combined functions

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.
Get Started Now