Let H(x) = Sin $2$ X $+$ 3 Sin X - 4 and G(x) = Sin X

Multiple Choice

Let h(x) = sin $2$ x $+$ 3 sin x - 4 and g(x) = sin x. Find f(x) so that h(x) = $( f \circ g ) ( x )$

A) f (x) = (3x + 2) $2$
B) f (x) = x + 3
C) f(x) = 3x $2$ - 4
D) f(x) = x $2$ - 3x $+$ 4
E) f (x) = 3x $2$ - 4x
F) f (x) = x $2$ $+$ 3x - 4
G) f (x) = x $2$ - 4
H) f (x) = (x - 4) $2$