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≠97G = \frac{2 + \sqrt{28x}}{3 + \sqrt{7x}}, \quad x > 0, x \neq \frac{9}{7}G=3+7x2+28x,x>0,x=79
Show 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
Practise Edexcel A Level Maths 1.2 Algebraic Fractions with exam-style questions for A Level Maths. 16 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.