Question

true or false the graphs of f(x) = e^x and
g(x)= e^-x meet at right angles

Answer 1

If they meet at right angles, then their respective tangents meet at right angles.

And if their tangents meet at right angles, then the product of the slopes of those tangents is -1, as it is for any perpendicular straight lines.

So the question becomes this: what are the slopes of the tangents to f and g at x = 0 and is their product -1?

Answer 2

Thanks!!