i cant seem to get A everytime i think i get the hang of it i get it wrong pleaase help

[burnt hill]

im thinking its either 1 or 16 but am not sure hoping someone can teach me how

[brisk ember]

What value of f(x) do you approach just before you hit x = 4, from the left side?

Same with g(x)

[burnt hill]

well if its from 4,0 to 4,3 so 3??

[brisk ember]

What's the value of f(3.9999999999)? g(3.9999999999)?

[burnt hill]

4

[brisk ember]

No

[burnt hill]

oh

[brisk ember]

If it says lim x->4- , you want to look at where x = 4 is, then look at the value just to the left of it

i.e. something like x = 3.99999999

When you look at the graph of f(x), the graph goes to the value 3, then jumps to value 4

[burnt hill]

thats where i got that f might be one originally but hm now im confused

[brisk ember]

I'm not talking about the distance of any jump

I just want to look at one specific value

[burnt hill]

where does the jump come from? is it just bc the dots

[brisk ember]

Yes the graph is defined like that

[burnt hill]

ohh okay then if x-> travels forward to 4,3 then jumps to 4,4 then would it just be 4?

and g(x) would also jump?

[brisk ember]

No I don't think you know what a limit is

[burnt hill]

a limit is similar to like when number gets too big

[brisk ember]

A limit is just a number that a function approaches

[burnt hill]

oh

[brisk ember]

So do you see the red arrows in my diagram?

[burnt hill]

yes

[brisk ember]

As I'm moving along the function f(x) from the left towards x = 4

What value do I end up at just before I hit x = 4?

[burnt hill]

3.9999999

[brisk ember]

That's the x value

What's the y value

[burnt hill]

it would also be 3.9999999?

[brisk ember]

Where is the red arrow pointing to?

for f(x)

What's the y-value of that point

[burnt hill]

about 3?

[brisk ember]

Yes

So lim x-> 4- f(x) = 3

Repeat the same for g(x)

[burnt hill]

would g be 16?

[brisk ember]

No

I'm not taking any difference

Do you see how g slowly decreases then jumps down when x = 4

I want the value of g just right before the jump

[burnt hill]

right before would be 24? as the vaule of g decreases to 20?

[brisk ember]

Right before would not be 24

That's really far from x = 4

[burnt hill]

then are you talking about the 20? and its going down to 4?

[brisk ember]

Yes

So it approaches 20

before x = 4 right?

[burnt hill]

yeah

[brisk ember]

then just after x = 4, it hits 4

The limit asks for the left side

so the value of the limit for g would be 20

Now just add them up, f(x) + g(x)

[burnt hill]

24?

[brisk ember]

this was your f

and your g is 20

[burnt hill]

23?

[brisk ember]

yes

[burnt hill]

so that would be my answer? then what about the x=4 part would that not do anything except solving for x?

[brisk ember]

We don't care about x = 4, we just care about the value that is just left of x = 4

Yes that's the answer