Given:
The expression is
The steps are given.
To find:
The mistake in her steps.
Solution:
We have,
The correct steps are shown below.
Step 1: Taking out x as common factor.
Step 2: Now, taking out 2x² as common factor from first two terms (first group of terms) and -1 form last two terms (second group of terms) in the parentheses.
Step 3: Taking out (x+1) as common factor.
She incorrectly factored -1 from the second group of terms.
Therefore, the correct option is B.
Answer:
Graphic is showed in the figure below
Step-by-step explanation:
To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.
<em>x y= x + 1/x² y = 1/x</em>
1 2 1
2 2.25 0.2
3 3.11 0.33
4 4.06 0.25
When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞
The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x
