Answer:
B
Step-by-step explanation:
Let's simplify the given function.
- [tex]\frac{1}{\frac{1}{x+2} +\frac{1}{x+3} }[/tex]
- [tex]\frac{1}{\frac{x+3+x+2}{(x+2)(x+3)} }[/tex]
- [tex]\frac{(x+2)(x+3)}{2x+5}[/tex]
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.
