1-1-x-3-1-x-4-If-x-gt-0-and-x-3-which-of-the-following-is-equivalent-to-the-expresion-above-A-2x-1-B-x-2-x-12-C-x-2-x-12-2x-1-

Question Number 127933 by AgnibhoMukhopadhyay last updated on 03/Jan/21

\frac{1}{\frac{1}{x - 3} + \frac{1}{x + 4}}

If x > 0 and x \neq 3, which of the

following is equivalent to the

expresion above ?

A . 2 x + 1

B . x^{2} + x - 12

C . \frac{x^{2} + x - 12}{2 x + 1}

D . \frac{2 x + 1}{x^{2} + x - 12}

Answered by bramlexs22 last updated on 03/Jan/21

\frac{1}{\frac{2 x + 1}{x^{2} + x - 12}} = \frac{x^{2} + x - 12}{2 x + 1}