Reference no: EM131017190
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).
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Express rectangular parkins area as a function of the width
: 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.
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