Q14. The function f(x) = 6x - 1 is one-to-one. Find its inverse.

a. f ^-1(x) = (x/6) - 1

b. f ^-1(x) = (x - 1)/6

c. f ^-1(x) = (x + 1)/6

d. f ^-1(x) = (x/6) + 1

Q15. Find the domain of the function f(x) = log ₅ (100 - x²).

a. (-10, 10)

b. (-, -10) (10, )

c. (-100, 100)

d. [-10, 10]

Q16. Find the exact value of the logarithmic expression ln e.

a. 0

b. -1

c. 1

d. e

Q17. Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write ln 10 in terms of a and b.

a. ab

b. a - b

c. a + b

d. ln a + ln b

Q18. Solve the equation log ₄ (x + 4) + log ₄ (x - 2) = 2

a. {-6}

b. {4}

c. {4, -6}

d. {5}

Q20. Solve the equation (1/3) log ₂ (x + 6) = log ₈ (3x). a. {9} b. {3, 0} c. {3} d. Q28. The perimeter of a rectangle is 20 inches and its area is 21 square inches. What are its dimensions? a. 2 in. by 6 in. b. 3 in. by 7 in. c. 4 in. by 6 in. d. 2 in. by 8 in.