Question

The graph shown here is the graph of which rational function

Answer 1

This is the graph of  1/x moved 4 units to the left 

so its f(x) = 1 / (x + 4)

C

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

The parent rational function is defined as

$g(x)=\frac{1}{x}$

Where x=0 is a vertical asymptote of the function.

If vertical asmptote of a ration function is x=a, then the rational function is defined as

$y=\frac{1}{x-a}$

From the given graph it is clear that the vertical asypmtote of the function is x=-4. It means the given function is not defined for x=-4. So, the required function is

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

$F(x)=\frac{1}{x+4}$

Therefore the correct option is C.