Question

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.

Answer 1

k=4

Explanation:

I took the test

Answer 2

Given the graph
`f(x) = (1)/(3)x -2` and
`g(x) = (1)/(3)x + 3`

We have to find the value of k;

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

`(1)/(3)x+3 = (1)/(3)x-2 +k`

Subtract
`(1)/(3)x` from both sides we get;

`3 = -2 +k`

Add 2 to both sides we get;

`3+2 = -2 +k +2`

Simplify:

`5 = k`

or

k = 5

Therefore, the value of k = 5