For the given function, find (f◦g)(x) and (g◦f)(x) and the domain of each. f(x)=x+9, g(x)=x^2-9

How can you construct perpendicular lines and prove theorems about perpendicular lines

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Find the measure of the angle indicated in bold