Question

find the domain of f(x)=[sqrt(x-4)]/ln(3-2x)+1

Answer 1

u have
\[ \large f(x)=\frac{\sqrt{x-4}}{\ln(3-2x)}+1 \]

Answer 2

u have three restrictions:

(i) \(x-4\geq0\)

(ii) \(3-2x>0\)

(iii) \(\ln(3-2x)=0\)

solve them separatedly and then intersect.