The length of a rectangular parking lot is 40 ft more than

Question

1. Find the domain of f (x)= √(4-x) / (|x| - 2)

2. The length of a rectangular parking lot is 40 ft more than the width. If the parking lot is iv feet wide, express its area as a function of the width.

3. Graph

Given that f(x) = x² -3x + 2 and g(x) = √(4-x), find each of the following if it exists.

i. (fg)(-5)           ii. (f/g)(2)

4. For the function in Exercise 3. find f (-3/4), f (4). and f (-5).

5. For f(x) = √(x+2) and g(x) = x -8:

i. Find (f_°g) (x) and (g_°f) (x).

ii. Find the domain of (f_°g) (x) and (g_°f) (x).

6. Find f (x) and g(x) such that h(x)= (f_°g) (x) = ³√(3x + 1).

7. Find the domain of the function.

i. f(x) = (2 + x) / (4 - x)
ii. g(x) = x³ - 4
iii. h(x) = √(x² - 9)

8. a) Graph: f(x)=|x - 1| + 4.

b) Visually estimate the domain of f (x) .

c) Visually estimate the range of f(x).