Is the set of functions f₁(x) = ex · f₂(x) = ex- linearly dependent or linearly independent on (-∞, ∞)? Discuss. Since e -6 e ex + 4, we see that e* is a constant multiple of e* + 4 and the set of functions is linearly dependent ×

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A: Range :- set of all output values

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A: Solve the following

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Q: C Chain Rule 7) f (x )> (2x +5)

A: To determine the derivative using chain rule.

Q: 19 THE SET OF Funспопо f₁ (x) ex+2 LINEARLY DEPENDENT OR LINEARLY INDEPENDENT ON (-00,00) = AND…

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A: Please refer to the image below

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Graph

A: L'Hospital Rule: If limx→af(x)g(x) is of the form 00 or ∞∞, then limx→af(x)g(x)=limx→af'(x)g'(x) We…

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A: We have to find the value of a ,b for a given function.

Q: EXAMPLE 3 If f(2) = 5, (4) = 6, and f(7) = -9, find f -'(6), f ·'(5), and f '(-9). SOLUTION -1 From…

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Q: Which of the following gives the domain of

A: We have  fx=x9-x2   Domain: Domain is the set of all inputs for which the function is defined.…

Q: Interpolating the function f(x) = 1+25 across the interval [-1, 1].

A: Introduction:             By using related known variables to predict an unknown price or possible…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: A 9) Choose the correct inverse for the linear functions. f(x) = -4x- 1 O s(e) = = - O gle) =- %3D 4…

A: We have to find

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A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

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A: Compute the following function values for D- F(2) and E- F(-2)

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Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

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Q: What would be some other options for this answer?  I'm trying to make sense of how the answer was…

A: We can find another pair of functions f(x) and g(x).