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Here is the link to a picture of the exercise I dont understand. Can you guys just do 1 and 2 and show me the step. Thanks

Here is the link to the exercise: http://imgur.com/MAzkgT4

Thank yu for your help

 Sep 19, 2015

Best Answer 

 #1
avatar+130516 
+5

I can't make out (a), but here's (b).....

 

g(f(-2)).......let's look at the f(-2) part, first.....this says  to look for the associated y value where the x value for "f" = -2

 

So..... we go to x = -2 on the graph  and look at the y value there for the graph of "f"...this is = 1 .......so  f(-2) = 1   ....this makes sense.......(-2, 1)  is a point on "f".......when x = -2, y = 1  ....!!!

 

And now we have  g(f(-2)) =  g(1)

 

And now we do the same thing, again.....we look at the graph of g where x = 1 and find the associated y value.....so......when the x value for "g" = 1, the associated y value  = 5

 

And 5 is your final answer.......!!!

 

Hope this helps......!!!!

 

 

cool cool cool

 Sep 19, 2015
 #1
avatar+130516 
+5
Best Answer

I can't make out (a), but here's (b).....

 

g(f(-2)).......let's look at the f(-2) part, first.....this says  to look for the associated y value where the x value for "f" = -2

 

So..... we go to x = -2 on the graph  and look at the y value there for the graph of "f"...this is = 1 .......so  f(-2) = 1   ....this makes sense.......(-2, 1)  is a point on "f".......when x = -2, y = 1  ....!!!

 

And now we have  g(f(-2)) =  g(1)

 

And now we do the same thing, again.....we look at the graph of g where x = 1 and find the associated y value.....so......when the x value for "g" = 1, the associated y value  = 5

 

And 5 is your final answer.......!!!

 

Hope this helps......!!!!

 

 

cool cool cool

CPhill Sep 19, 2015
 #2
avatar
0

Do you mind doing C and D for further explanation. I understand but I still need more clarification. I dont understand when its the opposite f(g(1) or g(g(-2))

 Sep 19, 2015
 #3
avatar+130516 
+5

g (g(-2) )

 

Go to x = -2 on the graph........look at function g  .....what is it's y value when x = -2??? →  - 1 ....so....

 

g(-2) = -1 

 

So ...... g(g(-2)) =  g(-1)      go to x = -1.....look at function g.....

what is its y value when x = -1???? → 1       and that's your answer

 

 

 

 

f(g(1)) 

 

Go to x = 1 on the graph.....look at function g.....what is its y value there??   →  5

 

  So  .....g(1) =  5

 

So......f(g(1)) = f(5)   now go to x = 5 on the graph....look at function f......what is its y value there???  →   - 6      and that's your answer

 

 

cool cool cool

 Sep 19, 2015

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