Suppose a function $f(x)$ is defined on the domain $[-8,4]$. If we define a new function $g(x)$ by $$g(x) = f(-2x),$$ then what is the domain of $g(x)$? Express your answer in interval notation.
g(x) = f (-2x)
The "-" won't have any effect on the domain
The "2" compresses the domain by a factor of 2
So.....the domain for g(x) = [ -8/2 , 4/2 ] = [ -4, 2]
