A scientist models the intensity gain G G\,G of a signal passing through a specialized fiber-optic cable as a function of the input power xxx:
G=2+28x3+7x,x>0,x≠97 G = \frac{2 + \sqrt{28x}}{3 + \sqrt{7x}}, \quad x > 0, x \neq \frac{9}{7} G=3+7x2+28x,x>0,x=79Show that G G\,G can be written in the form:
14x−6−47x7x−9 \frac{14x - 6 - 4\sqrt{7x}}{7x - 9} 7x−914x−6−47x
