SOLUTION: If the point P given below is on the graph of a function f, find the corresponding point on the graph of g. P=(-12,4),g(x)=-f(x)+5

Algebra ->  Rational-functions -> SOLUTION: If the point P given below is on the graph of a function f, find the corresponding point on the graph of g. P=(-12,4),g(x)=-f(x)+5      Log On


   

Question 1151529: If the point P given below is on the graph of a function f, find the corresponding point on the graph of g.
P=(-12,4),g(x)=-f(x)+5
Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.

You are given


    f(-12) = 4.


It is the exact meaning of this fragment  from the post  "the point P = (-12,4) is on the graph of a function f".


Take  x = -12.   

Then  

      g(-12) = -f(-12) + 5 = (at this point recall that f(-12) = 4, so you can continue the equality) = -4 + 5 = 1.


Thus the corresponding point on the graph of the function g  is  Q = (-12,1).


ANSWER.  The corresponding point on the graph of the function g  is  Q = (-12,1).

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The lesson to learn from my post is THIS : 

    The "corresponding point" in this context is the point, whose coordinates you can calculate, 
    starting from the given point P and using the given definition of the function g.