We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
221
5
avatar+701 

i have no idea what im doing..

 

http://prntscr.com/l7a2x8

 Oct 17, 2018
 #1
avatar+336 
+1

Ok we have:

f(x) = x+1 , xΕ [-2,2] 

and g(x) =  x + 1 , xE [-2,1)

                  1 , x=2

                  -x + 3 , xE(1,4]

 

So f(g(x)) = (x+1) + 1 , xE [-2,1) 

                   (-x + 3) + 1 , xE (1,2] 

 

We need around 1 to know the equation of function f(g(x)) because we want lim x->1 

 

so when lim x -> 1+ f(g(x)) = (x+1) + 1 = 1 + 1 + 1 = 3 

when lim x -> 1- f(g(x)) = (-x+3) + 1 = -1 + 3 + 1 = 2 +1 = 3 so 

lim x -> 1+ = lim x -> 1- = 3 

lim x -> 1 = 3 

Correct answer (C) 

 

f(x) , g(x) I find the equation of function from graph!

 Oct 17, 2018
 #2
avatar+701 
+1

where did you get from f(x) = x+1

 

thank you !

 Oct 17, 2018
 #4
avatar+336 
+1

Because its a straight so its f(x) = ax + b 

and because x,y increase at the same rate its 1 so f(x) = x + b and b = 1 to verify the equation ! 

Dimitristhym  Oct 18, 2018
 #3
avatar+104398 
+3

here is the question

 

 

I do not understand Dimitris answer BUT

I also think that the answer is 3

as x tends to 1  g(x) tends to 2

and f(2)=3

 Oct 17, 2018
 #5
avatar+336 
+2

Yes this is the same and this is faster and i think the fastest way to answer! 

Dimitristhym  Oct 18, 2018

9 Online Users