Question

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equals 1 over 3 x plus 2 and g of x equals 1 over 3 x plus 5

Answer 1

K=5

Explanation:

there you go

Answer 2

As given , g(x)= f(x) + k --------(1)

As also given : f(x) =
`(1)/(3)`(x+2)

g(x) =
`(1)/(3)`(x+5)

Putting the value of f(x) and g(x) in equation (1).

→
`(1)/(3)`(x+5) =
`(1)/(3)`(x+2) + k

→
`(1)/(3)[x+5-x-2]`= k

→ k =
`(1)/(3) * 3=1`

So , the value of k is 1.