Question

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

Answer 1

The set of inequalities y ≤ x² - 3 and y > -x² + 2 do not have a solution

How to modify the graphs

The attached figure 1 represents the missing piece in the question

From the graph, we have:

f(x) = x² - 3

g(x) = -x² + 2

Next, we change the equations to inequalities as follows:

y ≤ x² - 3

y > -x² + 2

To modify the graph, we then perform the following transformations:

• Shift the function g(x) down by 2 units
• Reflect across the x-axis
• Shift the function g(x) down by 3 units

How to identify the solution set

After the modifications in (a), we have:

y ≤ x² - 3 and y > -x² + 2

Next, we plot the graph of the inequalities

From the graph of the inequalities, the curves of the inequalities have no point of intersection

Hence, the set of inequalities do not have a solution

Read more about inequalities at:

brainly.com/question/24372553

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