Q. Determine whether 𝑓(𝑥) =
3𝑥 4 − 2𝑥 2 + 5 is even, odd, or
neither.
A. Even
Q. Determine whether 𝑓(𝑥) =
𝑥 3 + 𝑥 2 is even, odd, or neither.
A. Neither
Q. Determine whether 𝑓(𝑥) =
2𝑥 5 − 7𝑥 3 + 4𝑥 is even, odd, or
neither.
A. Odd
Q. If 𝑓(𝑥) = 3𝑥 − 5, find it’s
inverse.
A. 𝑓 −1 (𝑥) =
Q. If 𝑓(𝑥) =
A. 𝑓 −1 (𝑥) =
𝑥+5
3
1
Q. Solve the equation
35𝑥−8 = 9 𝑥+2
Q. Expand
A. 𝑥 = 4
A. log 𝑦 − log 𝑥
Q. Solve the equation
1 6−𝑥
( )
=2
2
Q. Expand
A. 𝑥 = 7
A. 2 + 2 log 𝑦 − 4 log 𝑥
Q. If $1,000 is invested at a rate of
12% per year compounded
monthly, find the principle after
20 years.
Q. Expand
A. $10,892.55
Q. If $2,500 is invested at a rate of
9.5% per year compounded
continuously, find the principle
after 15 years.
A. log 𝑦 − 4 log 𝑥 − log 𝑧
Q. Solve the equation
3 𝑥+4 = 21−3𝑥
Q. Given 𝑓(𝑥) = 𝑥 2 − 3𝑥 and
𝑔(𝑥) = 2𝑥 + 1, find (𝑓 ∘ 𝑔)(𝑥).
A. 𝑥 = −1.1646
A. 4𝑥 2 − 2𝑥 − 2
Q. Solve the equation
32−3𝑥 = 42𝑥+1
Q. Given 𝑓(𝑥) = 𝑥 2 − 3𝑥 and
𝑔(𝑥) = 2𝑥 + 1, find (𝑔 ∘ 𝑓)(𝑥).
A. 𝑥 = 0.1336
A. 2𝑥 2 − 6𝑥 + 1
Q. Solve the equation
3𝑥⁄7 = 0.2
Q. Given 𝑓(𝑥) = 3𝑥 + 5 and
𝑔(𝑥) = 2𝑥 − 7, find (𝑔 ∘ 𝑓)(𝑥).
A. 𝑥 = −10.2548
A. 6𝑥 + 3
Q. Condense
log 5 + log 2
Q. Solve the equation
22𝑥 + 2 𝑥 − 12 = 0
Q. Given 𝑓(𝑥) = 𝑥 2 + 4𝑥 − 1 and
𝑔(𝑥) = 𝑥 + 2, find (𝑔 ∘ 𝑓)(𝑥).
A. 1
A. 𝑥 = 1.585
A. 𝑥 2 + 4𝑥 + 1
Q. Solve the equation
log 𝑥 = 1 − log(𝑥 − 3)
Q. If $3,000 is invested at a rate of
4% per year compounded weekly,
find the principle after 20 years.
𝑦
log ( )
𝑥
100𝑦 2
log ( 4 )
𝑥
√𝑦
log ( 4 3 )
𝑥 √𝑧
1
1
2
3
A. $10,394.64
Q. Condense
, find it’s inverse.
3𝑥−2
Q. Evaluate log 5 125
2𝑥+1
A. 3
3𝑥
1
3 log 𝑥 − log 𝑦 + log 𝑧
3
𝑥3 𝑧
A. log ( 3 )
A. 𝑥 = 5
√𝑦
3
Q. If 𝑓(𝑥) = √𝑥 + 1, find it’s
inverse.
Q. Evaluate log 4
A. 𝑓 −1 (𝑥) = (𝑥 − 1)3
A. −2
Q. Given 𝑓(𝑥) = 5𝑥 + 2 and
𝑔(𝑥) = 6𝑥 − 1, find (𝑓 ∘ 𝑔)(𝑥).
Q. Evaluate 𝑒 2+ln 3
A. 30𝑥 − 3
Q. Given 𝑓(𝑥) = 3𝑥 − 1 and
𝑔(𝑥) = 4𝑥 2 , find (𝑓 ∘ 𝑔)(𝑥).
A. 12𝑥 2 − 1
1
16
A. 3𝑒 2
Q. Evaluate 𝑒1+ln 5
A. 5𝑒
Q. Condense
1
3log 𝑦 + log(𝑥 3 𝑦 6 ) − 5 log 𝑦
3
A. log 𝑥
Q. Solve the equation
6 + 2 ln 𝑥 = 5
A. $6,674.57
Q. If $2,500 is invested at a rate of
6.5% per year compounded
yearly, find the principle after 15
years.
A. 𝑥 = 0.6065
A. $6,429.60
Q. Evaluate log 2 5 to four decimal
places.
Q. Solve the equation
log 3 (𝑥 − 5) + log 3 (𝑥 + 3) = 2
Q. Evaluate log14 3 to four decimal
places.
A. 2.3219
A. 𝑥 = 6
A. 0.4163
Q. Evaluate log17 10 to four
decimal places.
Q. Solve the equation
log 2(𝑥 − 6) + log 2(𝑥 − 4) − log 2 𝑥 = 2
Q. Evaluate log 5 9 to four decimal
places.
A. 0.8127
A. 𝑥 = 12
A. 1.3652