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.
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