Who is asking: Student
Name: benjamin
Level: Secondary

Question:
How do I find the points of intersection of the two functions:
1) y = 2 - e^-x
2) y = 1 + x²
I know that I have to set them equal to each other, but I can't solve for x. Please help :-)

Hi Benjamin,

If you try some numerical values you can discover one solution. When x = 0, both expressions have a value of 1 so (0, 1) is one point of intersection.

If you sketch the graphs of the two expressions you can see that there is another point of intersection at some point between x=1/2 and x=1.

The best you can do for this second point of intersection is to approximate it.

Harley

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