Purchase Solution

Advanced Calculus Analysis : Simplify using Set and Interval Notation

Not what you're looking for?

Ask Custom Question

Let f: R → R defined by f(x) = x² for all xER. Use set notations (for example, ∩, U, −) and interval notations to simplify the sets f(f-¹ [-1, 3]) and f-¹(f[-1, 3]).

Attachments
Purchase this Solution
Solution Summary

Sets are simplified using set and interval notation. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

Solution Preview

Please see the attached file.

Since ,
then the domain of f(x) ...

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

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

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.

View More Free Quizzes
Related BrainMass Solutions

  • 25 Problems : Solve for Real or Imaginary Roots, Word Problems (Sum of two numbers) , Lowest Terms, Inequalities and Quadratic Equations

    Graph the quadratic equation and state the domain and range: y = 16 - x2 24. Solve the inequality: w2 + 3w < 18. Also state (in proper interval notation) and graph the solution set. 25. Solve the inequality: .

  • Absolute value, polynomials, and radicals

    Calculate the distance between the points and on the number line. Show work. Write the interval notation corresponding to the set notation {x | x < 3}. (It can be helpful to make a graph, but no graph is required.) Compute .

  • Removing Symbols and Grouping Like Terms

    Solve the following inequality and express the solution set using interval notation.

  • Basic Algebra

    Write in interval notation the real numbers between 0 and 1. 3.

  • Interval Notation and graph

    199724 Interval Notation and graph See attachment Section One Interval Notation and graph: 50 - The set of real numbers less than or equal to - 4 94 - Which of the following integers has an absolute value greater than 1 -4,-3,-2,-1,0,1,2,3,4

  • MTH 208

    313316 Evaluating Equations and Performing Operations 1. Miscellaneous Write the interval notation for the interval of real numbers shown in each graph. 2.

  • Simplifying Radicals

    Use interval notation 4√-5x-1 Simplify the expressions involving rational exponents. Assume all variables represent positive real numbers.

  • The graph of the equation

    Give the result in set notation. (If you need to use or - , enter INFINITY or -INFINITY, respectively.) -6 < 2x < 12 {x | < x < } 14. Solve the inequality. Give the result in interval notation.

  • Solving Integrals

    Use u-substitution and the Fundamental Theorem of Calculus only when necessary. You do not have to simplify any indefinite integral. 10. Determine the area of the region bounded by ... and ... based on the graph below.

View More Related Solutions