Question

Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?

Answer 1

Answer:

a)

$f(x) = \frac{4}{x-8} - 3.5$

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

$g(x) = \sqrt{x+4} - 6$

The y-intercept is

$g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4$

a)

$f(x) = \frac{4}{x-8} - 3.5$

The y-intercept is:

$f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4$

This is the correct answer

b)

$f(x) = -\frac{4}{x} - 1$

The y-intercept is

$f(0) = -\frac{4}{0} - 1$

This is an asymptote

c)

$f(x) = 2|x+2|$

The y-intercept is

$f(0) = 2|0+2| = 4$

d)

$f(x) = |x - 4|$

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.