Download Math 231 Worksheet 1 1. Expand and simplify. (x + 3)(4x

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Math 231 Worksheet 1
1. Expand and simplify.
(x + 3)(4x − 5)
2. Factor the expression.
4x2 − 25
3. Simplify the rational expression.
x2 + 3x + 2
x2 − x − 2
4. Solve the equation.
x2 − x − 12 = 0
5. Solve the inequality. Write your answer using interval notation.
x2 < 2x + 8
6. Sketch the graph of the function.
y = x2 − 1
7. Find the domain of the function.
√
x2 − 1
8. If f (x) = x2 + 2x − 1 and g(x) = 2x − 3, find the composition.
g◦f
Answers:
(1)
(2)
(3)
(4)
(5)
(7)
(8)
4x2 + 7x − 15
(2x − 5)(2x + 5)
x+2
x−2
−3, 4
(−2, 4)
(−∞, −1] and [1, ∞)
2x2 + 4x − 5
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