Final answer:
To find z(x), we solve the equation (z*z)(x) = (1/16)x by dividing both sides by x, simplifying, and then taking the square root of both sides.
Step-by-step explanation:
To find the value of z(x), we need to solve the equation (z*z)(x) = (1/16)x. Let's start by dividing both sides of the equation by x:
(z*z)(x)/x = (1/16)
Next, we simplify the left side of the equation:
z*z = (1/16)
To solve for z, we take the square root of both sides of the equation:
z = ±sqrt((1/16))
Simplifying the square root:
z = ±(1/4)
So, z(x) can be either 1/4 or -1/4.