Answer:
On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).
Step-by-step explanation:
The function is given by f(x) = - x and another function is given by g(x) = 2x.
Now, (g - f)(x) will be given by
(g - f)(x) = 2x - (- x) = 3x .......... (1)
Now, we have to choose from the options of the graphs that is applicable to function (1).
So, on a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6). (Answer)
Answer:
Option C
Step-by-step explanation:
We are given that
[tex]f(x)=-x[/tex]
The line passing through the points (0,0),(-6,6) and (6,-6).
[tex]g(x)=2x[/tex]
The line passing through the points (-3,-6),(0,0) and (3,6).
We have to find the graph of (g-f)(x).
[tex](g-f)(x)=g(x)-f(x)=2x-(-x)=2x+x[/tex]
[tex](g-f)(x)=3x[/tex]
Substitute x=0
[tex](g-f)(0)=3(0)=0[/tex]
[tex](g-f)(2)=3(2)=6[/tex]
[tex](g-f)(-2)=3(-2)=-6[/tex]
[tex](g-f)(-6)=3(-6)=-18[/tex]
Option C is true.
