- For all numbers, x, the function f is defined by f(x) = ax 33 , where a is a
constant. If f(3) = 45, then a =
A 3
B 5
C 15
D 30
E 35 - For all numbers a and b, if the operation $ is defined by a $ b = ab 2 ,
then 3 $ (5 $ 8) =
A 10
B 20
C 30
D 40
E 60 - For all numbers, x, if f(x) is defined by f(x) = 3x^2 , and f(x − 3) = 12, then x
could equal which of the following?
A 2
B 4
C 5
D 7
E 8
For this question, indicate all of the answer choices that apply.- For which of the following does a ★ b = b ★ a?
A a ★ b = b(a − b)
B a ★ b = 3(a + b)
C a ★ b = (ab)^3 - The sequence a 1 , a 2 , a 3 ,... , an,... is such that an = 3an− 1 + 2an− 2 for
all n > 2. If a 3 = 7 and a 4 = 35, what is a 2?
A 7
B 14
C 17
D 19
E 21
CHAPTER 11 ■ ALGEBRA 29703-GRE-Test-2018_173-312.indd 297 12/05/17 11:56 am