Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Determine the domain of f(x)=1x−1f(x)=\sqrt{\frac{1}{x-1}}f(x)=x−11.
Find the domain of f(x)=ln(x2−4)f(x) = \sqrt{\ln(x^2 - 4)}f(x)=ln(x2−4).
Find the domain of f(x)=ln(x+2)f(x)=\ln\bigl(\sqrt{x+2}\bigr)f(x)=ln(x+2).
Determine the domain of f(x)=ln(3x−6)f(x)=\ln(3x-6)f(x)=ln(3x−6).
Find the domain of f(x)=ln(x+42x−1)f(x)=\sqrt{\ln\bigl(\tfrac{x+4}{2x-1}\bigr)}f(x)=ln(2x−1x+4).
Find the domain of the function f(x)=(x−5)1/2f(x)=\bigl(x-5\bigr)^{1/2}f(x)=(x−5)1/2.
Determine the domain of f(x)=ln(ln(x))f(x)=\ln\bigl(\ln(x)\bigr)f(x)=ln(ln(x)).
Determine the domain of f(x)=ln(x−x−1)f(x)=\ln\bigl(x-\sqrt{x-1}\bigr)f(x)=ln(x−x−1).
Determine the domain of f(x)=ln(5−x)f(x)=\sqrt{\ln(5-x)}f(x)=ln(5−x).
Find the domain of f(x)=ln(x−3)f(x)=\sqrt{\ln\bigl(\sqrt{x-3}\bigr)}f(x)=ln(x−3).
Find the domain of f(x)=1x2−9f(x) = \frac{1}{x^2-9}f(x)=x2−91.
Determine the domain of f(x)=ln(x−2x+3)f(x)=\ln\left(\frac{x-2}{x+3}\right)f(x)=ln(x+3x−2).
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Question Type 3: Finding the domain of different simple functions
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Question Type 5: Finding the range of different simple functions
