answer:
the value of k is 4.
step-by-step explanation:
given,
f of x equals 1 over 3 x minus 3,
⇒[tex]f(x)=\frac{1}{3} x-3[/tex]
also, g of x equals 1 over 3 x plus 1,
⇒[tex]g(x)=\frac{1}{3} x+1[/tex]
since, g(x) = f(x) + k,
by substituting the values,
⇒ [tex]\frac{1}{3}x+1=\frac{1}{3} x-3+k\\1=k-3\\k=1+3=4\\[/tex]
therefore, the value of k is 4.
