Exercises for Question Type 4: Finding the domain of more complex functions - IB | RevisionDojo

IB
Question Type 4: Finding the domain of more complex functions

Question Type 4: Finding the domain of more complex functions Exercises

Question 1

Determine the domain of $f(x)=\sqrt{\frac{1}{x-1}}$ .

[3]

Question 2

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

[4]

Question 3

Find the domain of $f(x)=\ln\bigl(\sqrt{x+2}\bigr)$ .

[3]

Question 4

Determine the domain of $f(x)=\ln(3x-6)$ .

[2]

Question 5

Find the domain of $f(x)=\sqrt{\ln\bigl(\tfrac{x+4}{2x-1}\bigr)}$ .

[5]

Question 6

Find the domain of the function $f(x)=\bigl(x-5\bigr)^{1/2}$ .

[2]

Question 7

Determine the domain of $f(x)=\ln\bigl(\ln(x)\bigr)$ .

[2]

Question 8

Determine the domain of $f(x)=\ln\bigl(x-\sqrt{x-1}\bigr)$ .

[5]

Question 9

Determine the domain of $f(x)=\sqrt{\ln(5-x)}$ .

[3]

Question 10

Find the domain of $f(x)=\sqrt{\ln\bigl(\sqrt{x-3}\bigr)}$ .

[4]

Question 11

Find the domain of $f(x) = \frac{1}{x^2-9}$ .

[2]

Question 12

Determine the domain of $f(x)=\ln\left(\frac{x-2}{x+3}\right)$ .

[4]