Purchase Solution

Functions : Parabolas and Difference Quotient

Not what you're looking for?

Ask Custom Question

1. Given that f(x) = x^2 - x +4 and g(x) = (sqr root x) +2 find (f o g)(x)
2. Find the equation of the parabola with focus F(12,20) and directrix y = 10
3. For f(x) = 1/ (x -2) , find and simplify the difference quotient (f(3+h) -f(3)) / h

Attachments
Purchase this Solution

Solution Summary

An equation of a parabola is found and a difference quotient is simplified.

Solution Preview

Please see the attached file for the full solution.

Thanks for using BrainMass.

1. Given that f(x) = x^2 - x +4 and g(x) = (sqr root x) +2 find (f o g)(x)
2. Find the equation of the parabola with focus F(12,20) and directrix y = 10
3. For f(x) = 1/ (x -2) , find and simplify the difference quotient (f(3+h) -f(3)) / h

Solutions:
1-
(f o g)(X)= f(g(x))
It means consider the function f acting on g(x) instead of x. What does f do on x?
f(x)= ...

Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.