Exercise 1
1.
Find the domain of each function
(a) 8x + 3 = 4 + 8x
(b) 7(x – 2) - 2x = 5x - 14
(c) 12 + 4x = –2(2x – 6) (e) 12 + 4x = –2(2x – 6)
Exercise 3
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3−2? (?)?(?) = 2?2−3?
(?)?(?) = √|?| (?)?(?) = √?2 − 9 (?)?(?) = √5 − ?2
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3.
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(?)?(?) = √? − 4? − 5……………………..
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Let f be a function defined by?(?) = (? − 2) function f.
,? ≥ 2. Find the inverse of the …………………………………………………………………………………………
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The function ?(?) = |?| is invertible on R (i.e. admits an inverse)? Explain. …………………………………………………………………………………………
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Exercise 2
Determine if the equation has one solution, no solution or infinitely many solutions.
Solve each equation or inequality for x. Plot your solution on a number line
- (?−3)2=49
- 4(2?−3)+5=9
- 3?–5>16 4. −(?+5)≤3
- ?(?2−2)≥0
2
Exercise 4
Solve each equation or inequality
- 2?2−?=−3
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- 2?2−?<−3 …………………………………………………………………………………………
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- = − ?2 2?2
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- ?+2=2√2?−7 …………………………………………………………………………………………
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Exercise 5
Solve the systems
- {4?−3?−2=3?−7?}
? + 5? − 2 = ? + 4
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2? + ? + 6? = 3
- { ?−?+4?=1 }
3? + 2? − 2? = 2
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Exercise 6
A person invested $ 120,000, part at an interest rate at 4% annually and the remainder at 5% annually. The total interest at the end of one year was equivalent to an annual 4.5% rate on the entire $ 120,000. How much was invested at each rate.
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Exercise 7
The Davis company manufactures a product that has a unit selling prices of $20 and a unit cost of $15. If fixed costs are $600,000, determine the least number of units that must be sold for the company to have a profit.
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