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

Solution:

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

As also given : f(x) = $\frac{1}{3}$(x+2)

g(x) =  $\frac{1}{3}$(x+5)

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

→ $\frac{1}{3}$(x+5) = $\frac{1}{3}$(x+2) + k

→ $\frac{1}{3}[x+5-x-2]$= k

→ k = $\frac{1}{3} \times 3=1$

So , the value of k is 1.