itsyourgirl04 itsyourgirl04
  • 25-02-2022
  • Mathematics
contestada

Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning.

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jimthompson5910 jimthompson5910
  • 25-02-2022

Answer: The x intercept of g(x) is -3

Explanation:

If you plug in x = 1, then log(x) = 0. This makes x = 1 the root of the parent function f(x) = log(x). You can use a graph to confirm this.

Shifting everything 4 units to the left will get us g(x) = log(x+4).

Therefore, the x intercept of g(x) is 1-4 = -3.

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