Answer:
(0, 1)
(7.1, 0.49)
Step-by-step explanation:
The graph of the function is attached below.
We have an exponential function:
[tex]y = e ^ {- x}[/tex]
And we have a quadratic function:
[tex]y = 1-x ^ 2[/tex]
To find the solution to:
[tex]1-x ^ 2 = e ^ {- x}[/tex]
we must look in the graph for the values of x for which both curves are intercepted, these values are:
[tex]x = 0\\x = 7.1[/tex]
Then the solution are the following ordered pairs:
(0, 1)
(7.1, 0.49)
