Answer:
g(x) = 4x
Step-by-step explanation:
Recall by definition that for an odd function g
g(-x) = - g(x)
to identify the odd fuction, we simply replace each "x" with "-x" and see which results in the negative of the original function. The only choice that will give you this result is Option 4
Option 4:
g(x) = 4x
g(-x) = 4(-x) = -4x [which is equal to -g(x), hence this is an odd function]
In contrast, (and for a sanity check) let's try option 1
Option 1:
g(x) = x²
g(-x) = (-x²) = x² ( ≠ -g(x) , hence not an odd function)
