Use the graphs of f and g to graph h(x) = (f + g)(x). (Graph segments with closed endpoints.) Urgently Help needed?

need urgent help

Answer 1

If I remember correctly, saying h(x) = (f+g)(x) is equivalent to saying h(x) = f(x) + g(x). So in this case just add the y-values ​​of each graph for each x-value (e.g. for x = 0, f(0) = 0 and g(0) = 3, so h(0) = 0 + 3 = 3

answer 2

f(x) = -x if x<0 e = x se x>=0

g(x) = -x+3 if x < 3 e x - 3 se x>=3

then
h(x) = -2x + 3 if x<0 = 3 if 0<=x<3 = 2x - 3 se x>=3

i.e. it is a downslope = -2 in the first region. Flat on the second and sloping on the third.

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