Mathematics · Linear Independence of Functions
Consider the functions f(x) = |x| and g(x) = x3 defined on „. Which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1{f, g} is a linearly dependent pair of functions on „.
- 2{f, g} is a linearly independent pair of functions on „.✓
- 3{f, g} is a linearly dependent pair of functions on (0, ∞).
- 4{f, g} is a linearly dependent pair of functions on (-∞, 0).
Correct answer
{f, g} is a linearly independent pair of functions on „.
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