SOLUTION: For the given functions f and g, find the requested function and state its domain. f(x) = 16 - x2; g(x) = 4

SOLUTION: For the given functions f and g, find the requested function and state its domain. f(x) = 16 - x2; g(x) = 4 - x Find f + g. Thank you for your help.

Question 103077: For the given functions f and g, find the requested function and state its domain.
f(x) = 16 - x2; g(x) = 4 - x
Find f + g.
Thank you for your help.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x) = 16 - x2; g(x) = 4 - x
Find f + g.
f+g = 16-x^2+4-x
= -x^2-x+20
----------------------
The graph would be a parabola opening downward with
vertex at x = -b/2a = -(-1/-2)= -1/2
Then f(-1/2) = -(-1/2)^2-(-1/2)+ 20 = -1/4+1/2+20 = 20 1/4
--------------
Domain is All Real Numbers
Range is All Real Numbers <= 20 1/4
===================================
Graph:

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Cheers,
Stan H.

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