?Consider f and g two functions defined on the same set of real numbers D. Let

Chapter 2, Problem 41

(choose chapter or problem)

Consider f and g two functions defined on the same set of real numbers D. Let \(\mathbf{a}=\langle x, f(x)\rangle\) and \(\mathbf{b}=\langle x, g(x)\rangle\) be two vectors that describe the graphs of the functions, where \(x \in D\). Show that if the graphs of the functions f and g do not intersect, then the vectors a and b are not equivalent.

Text Transcription:

a = langle x, f(x) rangle

b = langle x, g(x) rangle

x in D

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