Does the graph of f(x) = e x 2 intersect the graph of g(x) = x? Explain your answer analytically using the intermediate value theorem

Consider the function f(x) = x + x power (1) defined on the domain of all positive real numbers, i.e., {x : x > 0}. (a) Find the equation of the tangent line to the graph of y = f(x) at x = 1. (b) Draw a graph of f(x) on this domain and the tangent line found in (8a).