How is the function f (x) = - 1/2sin5x related to the function g (x) = 4sin5x?

From the question we have that f (x) = - 1/2 sin 5x and g (x) = 4 sin5x

Let's try to calculate - 8f (x)

- 8f (x) = - 8 (-1/2 sin 5x)

This becomes 4sin 5x

Since the function g (x) is - 8 times f (x)

Hence g (x) = - 8f (x)