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- 4 years
Subject: Mathematics
Quiz
INSTRUCTIONS
Please use the Answer Sheet below to type your work.
Problem 1: Solve the equation: (4𝑥 − 5)4 = 81.
Problem 2: Determine the inverse of the function: ℎ(𝑥) = 2𝑥−3
1−𝑥
3
Problem 3: Solve the equation: (1 − 𝑥)2 = 8
Problem 4: Find the domain of the function: 𝑓(𝑥) = 𝑙𝑜𝑔4 (4 − 3𝑥).
Problem 5: Evaluate the expression: 𝑙𝑜𝑔82
Problem 6: Find the real value(s) of x that verify: √𝑥 + √7𝑥 + 2 = 0
Problem 7: Evaluate the expression: 𝑙𝑜𝑔1(1)
5
Problem 8: Solve: 3√6𝑥 + 9 + 8 = 5
Problem 9: Determine is the following function is one-to-one (explain your answer);
F = {(-2,1), (-5,-1), (3,-5), (1,-2), (0,5), (-1,6), (-6,7), (7,-6)}
Problem 10: Let 𝑓(𝑥) = √𝑥 − 3 and 𝑔(𝑥) = (𝑥 − 3)2, find (𝑔𝑜𝑓)(7).
Name______________________________
Answer Sheet
Record your answers and work.
Problem Number
Solution
1
Answer:
Work:
2
Answers:
Work:
3
Answer:
Work:
4
Answer: {}
Work:
For domain, we consider the argument for the log which is always greater than 0.
5
Answers:
Work:
6
Answer:
Work:
7
Answer:
Work:
8
Answers:
Work:
9
Answer:
Work:
10
Answer:
Work:
g of (7) means that we find the value of when
