IB Mathematics Analysis and Approaches Question Type 3: Finding the Domain of Different Simple Functions Exercises

Find the domain of $v(x)={\log }_2(x-1)+\sqrt{4-x}$

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

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

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

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

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

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

Find the domain of $r(x)=\frac{1}{\sqrt{x-3}+\sqrt{5-x}}$

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

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

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

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