Review on Functions

Given 𝑓(𝑥) = 2𝑥 − 5 and 𝑔(𝑥) = 3𝑥 + 4, solve for (𝑔 ○ 𝑓)(𝑥).

• 11 − 6𝑥

• 6𝑥²− 7𝑥 − 20

• 6𝑥 − 11

• 6𝑥² − 23𝑥 − 20

Given 𝑦 = 3𝑥 + 7, what is 𝑓(−2)?

• 1

• -1

• -13

• 13

The composite function denoted by 𝑓 ○ 𝑔 is defined as _____________.

• (𝑓 ○ 𝑔)(𝑥) = 𝑓(𝑔(𝑥))

• (𝑓 ○ 𝑔)(𝑥) = 𝑔(𝑓(𝑥))

• (𝑓 ○ 𝑔)(𝑥) = 𝑓(𝑥)●𝑔(𝑥)

• (𝑓 ○ 𝑔)(𝑥) = 𝑔(𝑥)●𝑓(𝑥)

It is a set of ordered pairs (𝑥,𝑦) such that no two ordered pairs have the same x value but different y-values.

• relation

• function

• domain

• range

What is the domain of the equation 𝑦 = 3𝑥² − 4𝑥?

• {𝒙:𝒙 ∈ 𝑹,𝒙 < −𝟏}

• {𝒙:𝒙 ∈ 𝑹,𝒙 ≠ 𝟏}

• {𝒙:𝒙 ∈ 𝑹}

• {𝒙:𝒙 ∈ 𝑹,𝒙 ≥ 𝟒}

Given 𝑓(𝑥) = 2𝑥 − 5 and 𝑔(𝑥) = 3𝑥 + 4, find (𝑓●𝑔)(𝑥).

• 6𝑥² + 23𝑥 − 20

• 6𝑥² − 23𝑥 − 20

• 6𝑥² − 20

• 6𝑥² − 7𝑥 − 20

If 𝑓(𝑥) = 𝑥 + 7 & 𝑔(𝑥) = 2𝑥 − 3, what is (𝑓 − 𝑔)(𝑥)?

• −𝑥 + 4

• 10 − 𝑥

• 𝑥 − 4

• 10 + 3𝑥

When dividing two fractions or rational expressions, multiply the dividend with the ________ of the divisor.

• reciprocal

• addend

• abscissa

• theorem

What is the set of all possible values that the variable x can take in a relation?

• domain

• range

• equation

• function

Which of the following set of ordered pairs in NOT a function?

• (1,2),(2,3),(3,4),(4,5)

• (1,2),(1,3),(3,6),(4,8)

• (1, 1), (2, 2), (3, 3), (4, 4)

• (3, 2), (4, 2), (5, 2), (6, 2)