Answer:
a)
[tex]f(x) = \frac{4}{x-8} - 3.5[/tex]
Step-by-step explanation:
The y intercept of g(x) is the value of g when x = 0.
In this problem
[tex]g(x) = \sqrt{x+4} - 6[/tex]
The y-intercept is
[tex]g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4[/tex]
a)
[tex]f(x) = \frac{4}{x-8} - 3.5[/tex]
The y-intercept is:
[tex]f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4[/tex]
This is the correct answer
b)
[tex]f(x) = -\frac{4}{x} - 1[/tex]
The y-intercept is
[tex]f(0) = -\frac{4}{0} - 1[/tex]
This is an asymptote
c)
[tex]f(x) = 2|x+2|[/tex]
The y-intercept is
[tex]f(0) = 2|0+2| = 4[/tex]
d)
[tex]f(x) = |x - 4|[/tex]
The y-intercept is
[tex]f(0) = |0-4| = |-4| = 4.
