y 2+ 1 (B) lim g(x) does not exist. x→2 2 (C) lim (f(x) g(x + 1)) does not exist. x-1 (D) lim (f(x+1) g(x)) exists. x→1 3 y 2 1 0 2 Graph of f Graph of g 15. The graphs of the functions f and g are shown in the figures above. Which of the following statements is false? (A) lim f(x) = 0 x→ 1 3 X

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the graph of the function f to sketch the graph of each function. (a) f(x + 1) (b) f(x) + 1 (c)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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A:

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A: To plot the given function:

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A: from option 1 f(x)=2(x+1)(x+5)

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A: The objective of the question is evaluate the limit.

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A:

Q: Use the graph of f shown in the figure to sketch the graph of each function. (a) f(x − 4)…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: (d) lim LI-IX √x²+2x+1 x² - 1

A:

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A: Given:  fx=4x+3 To Find: Domain of the given function fx

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