Hello Mike! Could you please tell me, what is the answer of Question 16, Section 4, Test 3? Thank you veery much for your help and time.
Katerina

The answer is -2, and here’s why. They’re asking you to find a value of x for which f(x)+g(x)=0. That can only happen when f(x)=-g(x). So you’re looking for a place on the graph where f curve and the g curve are the exact same distance from the x-axis.

The vertices of the graphs of f(x) and g(x) are (-2,-2) and (-2,2), respectively. In other words, when x=-2, the graphs of f(x) and g(x) are the same distances from the x-axis. In other words, f(-2)=-2, g(-2)=2, and therefore f(-2)+g(-2)=0

 

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