Question

If mx=x+5/x-1 and n(x) = x – 3, which function has the same domain as (m*n)(x)

Answer 1

Answer:c

Step-by-step explanation:

Given

$m\left ( x\right )=x+\frac{5}{x-1}$

and $n\left ( x\right )=x-3$

m of n is given by replacing x in $m\left ( x\right )$ by x-3

$m\left ( n\left ( x\right )\right )=x-3+\frac{5}{x-3-1}=x-3+\frac{5}{x-4}$

$m\left ( n\left ( x\right )\right )$ can take any value of x except x=4 because at x=4 function is not defined

and $h\left ( x\right )=\frac{11}{x-4}$ is also not defined for x=4 and can take any value of x