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

IB
Question Type 3: Finding the domain of simple functions

Question Type 3: Finding the domain of simple functions Exercises

Question 1

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

Find the domain of $f$ .

[4]

Question 2

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

[3]

Question 3

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

[4]

Question 4

Find the domain of the function $f(x)=\ln\bigl(x^2-4\bigr)$ .

[3]

Question 5

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

[3]

Question 6

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

[2]

Question 7

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

[2]

Question 8

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

[2]

Question 9

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

[3]

Question 10

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

[2]

Question 11

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

[2]

Question 12

Find the domain of the function $f(x)=\sqrt{x+3}$ .

[2]