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The functions f(x)=x²-1 and g(x) = -x² + 4 are shown on the graph.


Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

The functions fxx1 and gx x 4 are shown on the graph Explain how to modify the graphs of fx and gx to graph the solution set to the following system of inequali class=

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abidemiokin

The solution to the given graph is (-√5/2, √5/2)

Quadratic graph

Given the following quadratic graph f(x)=x²-1 and g(x) = -x² + 4

The solution will be the point of intersection of the two curves.


Equate the functions

x²-1 =  -x² + 4

Equate to zero

x²+x² - 1-  4 = 0

2x² -5 = 0

2x² = 5

x² = 5/2

x = ±√5/2

Hence the solution to the given graph is (-√5/2, √5/2)

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