Question

If x > 3, which of the following is equivalent

Answer 1

Answer:

B

Step-by-step explanation:

Let's simplify the given function.

• $\frac{1}{\frac{1}{x+2} +\frac{1}{x+3} }$
• $\frac{1}{\frac{x+3+x+2}{(x+2)(x+3)} }$
• $\frac{(x+2)(x+3)}{2x+5}$

Now, let's take x = 4 as it is given x > 3.

• (4 + 2)(4 + 3)/2(4) + 5
• 6(7)/13
• 42/13

Without evaluating, we can see the answer is B because on multiplying the factors in the numerator is simplified to the answer given in the option.