Answer:
Option (D) is correct.
No, They will not intersect.
Step-by-step explanation:
Given Points for g(x), (1,2) , (2,4) and (3,6)
Since g is a linear function then it must be in form of g(x) = mx +c where, c is constant and m is slope.
We first calculate the slope using,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, consider [tex]x_1=1 , x_2=2 , y_1=2, y_2=4[/tex]
Substitute above, we get slope as,
[tex]m=\frac{4-2}{2-1}=2[/tex]
Thus, equation becomes g(x) = 2x + c ...(1)
For c plug the values in (1),
(1,2) ⇒ 2= 2 + c ⇒ c = 0
Thus, Equation of G(x) is 2x.
When we plot it it do not intersect f(x).
Thus, Option (D) is correct.
No, They will not intersect.
