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

the value of k is 4.

step-by-step explanation:

given,

f of x equals 1 over 3 x minus 3,

⇒
`f(x)=(1)/(3) x-3`

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

⇒
`g(x)=(1)/(3) x+1`

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

by substituting the values,

⇒
`(1)/(3)x+1=(1)/(3) x-3+k\\1=k-3\\k=1+3=4\\`

therefore, the value of k is 4.