213,820 views
18 votes
18 votes
If x > 3, which of the following is equivalent

(LOOK AT IMAGE TO SEE ANSWER CHOICES)

A

B

C

D

If x > 3, which of the following is equivalent (LOOK AT IMAGE TO SEE ANSWER CHOICES-example-1
User TheNickyYo
by
2.5k points

1 Answer

14 votes
14 votes

Answer:

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.

User Canis
by
2.8k points
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