Math Problem Statement

The graphs of the functions f(x) and g(x) are shown below. WebAssign Plot (a) Find (f · g)(2).

(f · g)(2) =

(b) Find (f − g)(0).

(f − g)(0) =

Solution

To solve the given problems, we need to interpret the operations based on the graphs of the functions f(x)f(x) and g(x)g(x).

(a) Find (fg)(2)(f \cdot g)(2)

The expression (fg)(2)(f \cdot g)(2) represents the product of f(2)f(2) and g(2)g(2). So, we need to read the values of f(2)f(2) and g(2)g(2) from the graph and then multiply them together:

(fg)(2)=f(2)g(2)(f \cdot g)(2) = f(2) \cdot g(2)

(b) Find (fg)(0)(f - g)(0)

The expression (fg)(0)(f - g)(0) represents the difference between f(0)f(0) and g(0)g(0). Again, we need to look at the values of f(0)f(0) and g(0)g(0) from the graph and subtract them:

(fg)(0)=f(0)g(0)(f - g)(0) = f(0) - g(0)

If you can provide the graphs or the values of ( f(x

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Math Problem Analysis

Mathematical Concepts

Function Operations
Graph Interpretation
Multiplication and Subtraction of Functions

Formulas

(f · g)(x) = f(x) · g(x)
(f − g)(x) = f(x) − g(x)

Theorems

Basic Function Operations

Suitable Grade Level

Grades 9-12