Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = (1 point) graph of f of x and g of x. f of x equals 1 over 3 x minus 2 and g of x equals 1 over 3 x plus 3.

k=4

Step-by-step explanation:

I took the test

Given the graph and

We have to find the value of k;

Since, g(x) = f(x) +k

Subtract from both sides we get;

Add 2 to both sides we get;

Simplify:

or

k = 5

Therefore, the value of k = 5

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this