Given f (x) = 4x + 3 and h(x) = 4x2 + 1, find g such that (fog) = h. vv Prove the following identity: cos2x = 1-tan'x vvVV 1+tan x Sketch a function with all the following features: Local maximum of 2 Local minimum of - 7 y-intercept at - 3 5 turning points Solve the equation tan?x - 4tanx - 5 = 0 for x, where 0 S x S 2n. V V a) The graph shows the profit for a company that makes Lamborghini parts where the x-axis is the number of parts in the thousands and the y-axis is the amount of money made in millions. How many parts must the company sell to make a profit? b) Your friend creates a different model for the data: h = log2(x - 3) + 1. How many parts must be sold to make a profit