Use the inverse of the function y = x2 − 18x to find the unknown values. y=+/= square root of bx+c+d
Accepted Solution
A:
y = x2 - 18x
We look for the inverse of the function. To do this, let's determine the value of x: y = x2 - 18x y = (x + (-18/2)) ^ 2 - ((-18) ^ 2/4) + 0 y = (x - 9) ^ 2 - 81 y + 81 = (x - 9) ^ 2 +/- root (y + 81) = (x - 9) +/- root (y + 81) + 9 = x We return the change: f (x) ^ - 1 = +/- root (x + 81) + 9 Therefore, the values sought are: b = 1 c = 81 d = 9 Answer: f (x) ^ - 1 = +/- root (x + 81) + 9 b = 1 c = 81 d = 9