Mathematics

Problem

A manufacturing robot moves along a path defined by

f(x)

on the interval

[0, 100]\,\text{cm}

. The engineers decide to re-calibrate the

x

-axis sensors such that the new input variable

u

is related to

x

u = \frac{x}{50}

. If the physical path remains the same but is now described as a function of

u

, denoted

g(u)

, what is the domain of

g(u)