graph intersection

[violet mural]

I have 2 graphs
I need to find an intersection.

Here is what i tried so far

[spiral mountain]

[tawdry oasis]

This isn't possible to find analytically in general.
But as f(x) is increasing and g(x) is decreasing, there must be no more than 1 point of intersection.
We can observe by looking at the graph (or just trial and error) that f(2) = g(2) = 9. So, the only point of intersection is (2, 9).

[granite root]

Is that y=-1/2 x+70 or 10?

nvm

[violet mural]

+close