Pre Calculus Questions
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given the function f (x) = 4x 2 a. find the equation for f ^ -1 (x). show all steps. b. then draw the graphics please help me
Put y = 4x + 2 and solve for x = 4x 4x + 2 = y – 2 x = y / 4 -2 / 4 x = y / 4 – 1 / 2 simply swap the values X and Y for y = x / 4 – 1 / 2 is the inverse function. – Check f ^ -1 [f (x)] = f (x) / 4 1 / 2 = (4x + 2) / 4 – 1 / 2 = X + 1 / 2 – 1 / 2 = x (b) To draw y = x / 4 – 1 / 2 x intercept when y = 0 x / 4 to 1 / 2 = 0 x – 2 = 0 x = 2 intercept and when x = 0 y = x / 4 – 1 / 2 and = 0 – 1 / 2 y = -1 / 2 Draw a line connecting the points (2.0) and (0, -1 / 2) and this will give a straight line graph.
Precalculus – 5 Questions (Chapter 2) – Part 1
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