Answer to Question #334836 in Linear Algebra for Hans

Question

 State the domain and range of the following function 𝑓(𝑥) = 1/(𝑥−1) + 2

Answer 1

$f(x)=\dfrac{1}{x-1}+2$

$x-1\not=0=>x\not=1$

Domain: $(-\infin, 1)\cup(1, \infin)$

Range: $(-\infin, 2)\cup(2, \infin)$