Question

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

Answer 1

answer:

the value of k is 4.

step-by-step explanation:

given,

f of x equals 1 over 3 x minus 3,

⇒$f(x)=\frac{1}{3} x-3$

also, g of x equals 1 over 3 x plus 1,

⇒$g(x)=\frac{1}{3} x+1$

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

by substituting the values,

⇒ $\frac{1}{3}x+1=\frac{1}{3} x-3+k\\1=k-3\\k=1+3=4$

therefore, the value of k is 4.