Exercises for Question Type 3: Finding the domain of simple functions

Question 1

Skill question

Let $f (x) = \frac{2 x - 5}{x + 1}$ .

Find the domain of $f$ .

[4]

Question 2

Skill question

Find the domain of the function $f (x) = x^{2} - 9$ .

[3]

Question 3

Skill question

Find the domain of the function $f (x) = ln (\frac{x - 1}{x + 2})$ .

[4]

Question 4

Skill question

Find the domain of the function $f (x) = ln (x^{2} - 4)$ .

[3]

Question 5

Skill question

Find the domain of the function $f (x) = ln (x - 2) + 7 - x$ .

[3]

Question 6

Skill question

Find the domain of the function $f (x) = \frac{1}{x - 3}$ .

[2]

Question 7

Skill question

Find the domain of the function $f (x) = ln (9 - x^{2})$ .

[2]

Question 8

Skill question

Find the domain of the function $f (x) = ln (8 x - 1)$ .

[2]

Question 9

Skill question

Find the domain of the function $f (x) = ln (x)$ .

[3]

Question 10

Skill question

Find the domain of the function $f (x) = \frac{1}{5 x + 10}$ .

[2]

Question 11

Skill question

Find the domain of the function $f (x) = 2 - x$ .

[2]

Question 12

Skill question

Find the domain of the function $f (x) = x + 3$ .

[2]

IB Mathematics Applications & Interpretation Question Type 3: Finding the Domain of Simple Functions Exercises