Graphs of functions f and g. Find (f + g) (4)

[Samara]

The answer to this is: 6

However, I am unsure of how to get this. Could someone please help explain it to me?

 

[pka]

The answer to this is: 6

However, I am unsure of how to get this. Could someone please help explain it to me?

View attachment 1770

\(\displaystyle (f+g)(4)=f(4)+g(4)~.\)

 

[Samara]

Thank you! Now how do I use the graphs to solve?

 

[pka]

\(\displaystyle (f+g)(4)=f(4)+g(4)~.\)

Look at the \(\displaystyle f\text{-graph}\) what does \(\displaystyle f(4)=~?\)

 

[Samara]

I think that this means that I go over 4 on the x axis and then go up to where the line is on the y axis?
So for the first one, i'd go over 4 and up to the line, which is at 2
f(4) = 2
and the same for g(4) = 4
2 + 4 = 6

 

[pka]

I think that this means that I go over 4 on the x axis and then go up to where the line is on the y axis?
So for the first one, i'd go over 4 and up to the line, which is at 2
f(4) = 2 and the same for g(4) = 4
2 + 4 = 6

Correct.

 

[Samara]

Thank you