Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) = [tex]\frac{1}{3}[/tex](x+2)
g(x) = [tex]\frac{1}{3}[/tex](x+5)
Putting the value of f(x) and g(x) in equation (1).
→ [tex]\frac{1}{3}[/tex](x+5) = [tex]\frac{1}{3}[/tex](x+2) + k
→ [tex]\frac{1}{3}[x+5-x-2][/tex]= k
→ k = [tex]\frac{1}{3} \times 3=1[/tex]
So , the value of k is 1.
