Question

The sum of all real numbers which are not in the range of $f(x)=\frac{x^2-3x+2}{x^2-4x+3}$ is equal to

• A. $\frac{3}{2}$
• B. $\frac{1}{2}$
• C. 1
• D. $\frac{5}{2}$

Answer 1

Answer: (A)

$f(x)=\frac{(x-1)(x-2)}{(x-3)(x-1)}=\frac{x-2}{x-3},x\ne 1,3$
Domain of function $=R-\{1,3\}$.
Range of function $=R-\left\{\frac{1}{2},1\right\}$