The domain of the function $f(x)=\frac{x^2+3 x+5}{x^2-5 x+4}$ is

Question

Professor PC Thomas Classes · Answer

Denominator cannot be zero: $x^2-5x+4 
e 0 \implies (x-1)(x-4) 
e 0 \implies x 
e 1, 4$. Domain is $R - \{1, 4\}$.