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 equa

Question

3 months ago

10

ls 1 over 3 x plus 2 and g of x equals 1 over 3 x plus 5

1 answer:

lawyer [12.5K] · Answer 1 · 2026-03-01T12:37:04+03:00

7 0

Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = $\frac{1}{3}$ (x+2)

and g(x) = $\frac{1}{3}$ (x+5)

Substituting f(x) and g(x) into equation (1):

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

→ $\frac{1}{3}[x+5-x-2]$ = k

→ k = $\frac{1}{3} \times 3=1$

Thus, the value of k is 1.