If f (x) = - 3x + 4 and g (x) = x squared, find (g*f) (-2)

The easiest way to do this is to work out f (-2) first, = - 3 (-2) + 4=10, then find g (-2) = (-2) ²=4.

(g*f) (-2) = 4*10=40.

However, if g*f means g of f the answer is different, because having worked out that f (-2) = 10 we put this result into g, so we find g (10) = 10²=100.

So you need to determine whether g*f means g (x) * f (x) [answer 40] or g (f (x)) [answer 100] when x=-2.