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The positive integer for which g(x) first exceeds f(x) is 178 according to the number line.

What is the function of f(x)?

The function f of (x) is used to denote a linear algebra that can be represented on the graph.

Given that:

  • f(x) = 2x + 15
  • [tex]\mathbf{g(x) = 11(1.02)^x}[/tex]

We are to determine a positive integer for which g(x) first exceeds f(x). Using the following option;

  • f(x) = 2(371) + 15 = 757
  • g(x) = 11(1.02)³⁷¹  = 17063.04

  • f(x) = 2(177) + 15 = 369
  • g(x) = 11(1.02)¹⁷⁷  = 366.11

  • f(x) = 2(370) + 15 = 755
  • g(x) = 11(1.02)³⁷⁰ = 16728.47

  • f(x) = 2(178) + 15 = 371
  • g(x) = 11(1.02)¹⁷⁸ = 373

Therefore, we can conclude that the positive integer for which g(x) first exceeds f(x) is 178 according to the number line.

Learn more about the function of f(x) here:

https://brainly.com/question/1638409

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