Consider the functions f : (0, +) R and g : (0, +) R defined pointwise by:

f(x) = 1 + x²

g(x) = x⁴

(1) Find all points where the graphs of these functions intercept each other, or explain why there is none. (2) For each intersection point, if any, nd the line that is tangent to the graph of : 0 +00 > R at this oint. f ( a p