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The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 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?

y ≤ x^2 – 3
y > –x^2 + 2

The functions fx x2 3 and gx x2 2 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 ineq class=

Respuesta :

The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.

Now for the point (0, 0). Then we have

0 ≤ 0² – 3

0 ≤ – 3

which is false

Then the region is opposite to the origin.

Similarly, we have

0 > 0² + 2

0 > 2

which is false

Then the region is opposite to the origin.

Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The graph is shown below.

More about the function link is given below.

https://brainly.com/question/5245372

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