Question

If x > 3, which of the following is equivalent

(LOOK AT IMAGE TO SEE ANSWER CHOICES)

A

B

C

D

Answer 1

B

Explanation:

Let's simplify the given function.

• 
  `(1)/((1)/(x+2) +(1)/(x+3) )`
• 
  `(1)/((x+3+x+2)/((x+2)(x+3)) )`
• 
  `((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.