Using it's concept, the function that has the same y-intercept as [tex]g(x) = \sqrt{x + 4} - 6[/tex] is:
[tex]f(x) = \frac{4}{x - 8} - 3.5[/tex]
The y-intercept is f(0), that is, the value of y when x = 0.
In this problem, the function is:
[tex]g(x) = \sqrt{x + 4} - 6[/tex]
The y-intercept is:
[tex]g(0) = \sqrt{0 + 4} - 6 = 2 - 6 = -4[/tex]
Researching the problem on the internet, function with the same y-intercept is given by:
[tex]f(x) = \frac{4}{x - 8} - 3.5[/tex]
As:
[tex]f(0) = \frac{4}{0 - 8} - 3.5 = -0.5 - 3.5 = -4[/tex]
More can be learned about the y-intercept of a function at https://brainly.com/question/24737967
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