I just can't grasp this at all, please help

Question

If  and , what is the range of ?

Answer 1

(u o v)(x) is a composite function. It means to replace the x's in u(x) with v(x):

u(x) = -2x² + 3

v(x) = 1/x

(u o v)(x) = -2v(x)² + 3 = -2(1/x)² + 3 = -2/x² + 3

Now, can you find the range?