In Exercises 11-21, solve each equation, inequality, or system of equations. 11. V 3x = 2x – 6 12. 4x = &x - 7 %3D - x +5> 2 14. X - 1 13. + 2 < 4 15. 2r + x? - 13x + 6 = 0 16. 6x – 3(5x + 2) = 4(1 – x) 17. log(x + 3) + log x = 1 18. 3*+2 = 11 19. x - 2, 3x - y = -2 20. |2r² – y = 0 x + 2y + 3z = -2 21. 3x + 3y + 10z = -2 2y - 5z = 6 %3!

Q: 12. f(x) = 13. f(x) = E- ī | f(x) 2

A: The function has a vertical asymptote at x=-2 So the function must contain a factor 1x+2 The…

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Q: Graph each function using a graphing utility. 71. f(x) = x² + 72. f(x) = +1 x3 + 4x² + x – 6 73. (х)…

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Q: For each part, just write the numerical answer (or simplified equivalent expression if the answer's…

A: we know that  alogax=xlogaa=1logxn=nlogx

Q: Exercises 67 and 68: For each function f, find f(x + h) and f(x) + f(h). 67. f(x) = 2x² 68. f(x) = 1…

A: We have to find fx+h and fx+fh for each given function: 67.  fx=2x268.  fx=1-3x+x2 In this case we…

Q: which of the functions are linear? Explain your reasoning.  f(x)=x2+2x-3      g(x)=3x+8     h(x)=4

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Q: In Exercises 81-82, graph each linear function. 81. 3x – 4f(x) - 6 = 0 82. 6x - 5f(x) - 20 = 0

A: The line equation has many forms to represent the line equation and the one of the is standard form…

Q: 5(g+4)>15

A: Given that 5g+4&gt;15To find :interval of gSolution :5g+4&gt;15g+4&gt;155g+4&gt;3g+4-3&gt;0g+1&gt;0

Q: Refer to Example 5 in Section 3.4. Geometrically, what does the expression 2x + h + 6 represent on…

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Q: Is this correct? Develop a loğical argument.

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Q: Determine if the following functions grow faster, slower, or at the same rate as the function 5x² as…

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: - In Exercises 6 and 7, use a graphing calculator to evaluate (f + g)(x), (f − g)(x). (fg)(x), and…

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Q: I. Differentiate each function using chain rule. 1. y (2x3 + 1)5 2. y=x² + (4x5 – 5)3 3. y = (-2b8 +…

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Q: 5 3 1. y = f(x + 5) II. y = -f(-x) - 2 III. y = f(x+6) + 2 32 2 ++++ -6-5-4-3-2-1 12345 7 -2 b - ✔ (…

A: A graph of the function fx is given, we have to identify the graph of the transformation functions.

Q: In Exercises 24-25, find the domain of each function. 24. f(x) = V30 – 5x 25. g(x) = V3x – 15

A: Answer (24): The given is: fx=30-5x Since the domain of the function is the set of all possible…

Q: Example 3 If g(x) = 2x + 1 and h(x) = 4x² + 4x + 7, find a function f such that fog =h. Solution:

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Q: In a research project on cancer, a tumor was determined to weigh 30 mg when first discovered. While…

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