The function is:
(9x^2 - 36)
f(x) = ---------------------
3x + 6
You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0
=> x ≠ - 2.
So, for x ≠ - 2, you can do:
(9x^2 - 36)
f(x) = --------------------- =
3x + 6
9(x^2 - 4)
f(x) = ---------------------
3(x + 2)
3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
(x + 2)
So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.
Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length
now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6
Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x
So the new larger rectangle has area of 9x^2-18x
Between 0.5 and 0.6 can be an infinity.
<em><u>ex:</u></em><u /><u><em /></u><em />
0.51
0.52
0.517
0.5169889549.......
0.5999999999..........
etc.
Answer:
12 m
Step-by-step explanation:
