If the functions f: R −{1} $\rightarrow$ R and g: R −{−2} $\rightarrow$ R are defined by $f(y) = \large\frac{y}{y-1}$ and $g(y) = \large\frac{y+4}{y+2}$, then (f − g): R − {1, −2} $\rightarrow$ R is given by

1 Answer

$(f-g)(y) = \large\frac{4-y}{(y-1)(y+2)}$
Hence (D) is the correct answer.
answered Jun 28, 2014