![\lim_{x \to \pi /4} \frac{tan x - 1}{x- \pi /4} = \frac{0}{0}](https://tex.z-dn.net/?f=%20%5Clim_%7Bx%20%5Cto%20%20%5Cpi%20%2F4%7D%20%20%5Cfrac%7Btan%20x%20-%201%7D%7Bx-%20%5Cpi%20%2F4%7D%20%20%3D%20%20%5Cfrac%7B0%7D%7B0%7D%20)
With L` Hospital`s Rule ( ( tan x ) ` = 1/ cos^2 x ) :
![\lim_{x \to \pi /4} \frac{1}{cos ^{2} x} = \\ = \frac{1}{cos ^{2} ( \pi /4)} = \\ \frac{1}{1/2}](https://tex.z-dn.net/?f=%20%5Clim_%7Bx%20%5Cto%20%20%5Cpi%20%2F4%7D%20%20%5Cfrac%7B1%7D%7Bcos%20%5E%7B2%7D%20x%7D%20%3D%20%20%5C%5C%20%3D%20%5Cfrac%7B1%7D%7Bcos%20%5E%7B2%7D%20%28%20%5Cpi%20%2F4%29%7D%20%20%3D%20%5C%5C%20%20%5Cfrac%7B1%7D%7B1%2F2%7D%20%20)
=
2
The area of a rectangle is length times width or base times height
so 5 times 2x-3
if you multiply them together 5(2x-3) you would get 10x-15
there is no value of x
so the area would be 10x-15ft^2
For this case, the first thing we must do is multiply both functions to obtain the desired result.
We have then:
f (x) = 2x
g (x) = x ^ 2-1
Multiplying we have:
(f * g) (x) = (2x) * (x ^ 2-1)
Answer:
The following statement is correct:
B. (f * g) (x) = 2x (x ^ 2-1)
Correct answer: True
Each number in the right set corresponds to unique number in the left set. Therefore, this mapping is a function.