Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

3. Functions

Function Operations

College Algebra

3. Functions

Function Operations

Previous problemNext problem

1:20 minutes

Problem 84

Textbook Question

Use the graphs of f and g to solve Exercises 83–90.
Find (g-f) (-2).

Verified step by step guidance

Identify the value of g(x) at x = -2 from the graph.

Identify the value of f(x) at x = -2 from the graph.

Calculate (g-f)(-2) by subtracting f(-2) from g(-2), i.e., (g-f)(-2) = g(-2) - f(-2).

Verify the values obtained from the graph for accuracy.

Interpret the result in the context of the problem.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Function Evaluation

Function evaluation involves substituting a specific input value into a function to determine its output. In this case, we need to evaluate both functions f and g at x = -2 to find their respective values. This is a fundamental skill in algebra, as it allows us to analyze and manipulate functions effectively.

Difference of Functions

The difference of functions, denoted as (g - f)(x), represents the result of subtracting the output of function f from the output of function g at a given input x. This operation is crucial for understanding how two functions compare at specific points, and it can reveal important information about their behavior and relationships.

Graph Interpretation

Graph interpretation involves analyzing the visual representation of functions to extract meaningful information. By examining the graphs of f and g, we can identify their values at specific points, such as x = -2, and understand their overall behavior, including intersections, trends, and differences. This skill is essential for solving problems that involve graphical data.