Exercises for Question Type 3: Finding the domain of different simple functions - IB | RevisionDojo

IB
Question Type 3: Finding the domain of different simple functions

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

Question 1

Find the domain of $v(x) = \log_{2}(x-1) + \sqrt{4-x}$

[3]

Question 2

Find the domain of $g(x) = \sqrt{x-3}$

[2]

Question 3

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

[2]

Question 4

Find the domain of $h(x) = \frac{1}{x^2-4}$

[2]

Question 5

Find the domain of $k(x) = \frac{\ln(x-2)}{\sqrt{x+1}}$

[3]

Question 6

Find the domain of $q(x) = \sqrt{\ln(x)}$ .

[2]

Question 7

Find the domain of $u(x) = \ln(x^2-4)$

[3]

Question 8

Find the domain of $u(x) = \ln(x^2-4)$

[4]

Question 9

Find the domain of $t(x) = \sqrt{\frac{x+2}{x-4}}$

[5]

Question 10

Find the domain of $s(x) = \ln\bigl(\frac{x-1}{x+2}\bigr)$

[4]

Question 11

Find the domain of $m(x) = \frac{\sqrt{5-x}}{\ln(x+2)}$

[5]

Question 12

Find the domain of $p(x) = \ln\left(\sqrt{x-1}\right)$

[2]