If (g(y)) = (frac{y – 3}{11}) + (frac{11}{y^2 – 9}). what is g(y + 3)?
-
A.
(frac{y}{11} + frac{11}{y(y + 6)}) -
B.
(frac{y}{11} + frac{11}{y(y + 3)}) -
C.
(frac{y + 30}{11} + frac{11}{y(y + 3)}) -
D.
(frac{y + 3}{11} + frac{11}{y(y – 6)})
Correct Answer: Option A
Explanation
(g(y) = frac{y – 3}{11} + frac{11}{y^{2} – 9})
(therefore g(y + 3) = frac{(y + 3) – 3}{11} + frac{11}{(y + 3)^{2} – 9})
(g(y + 3) = frac{y}{11} + frac{11}{y^{2} + 6y + 9 – 9})
(g(y + 3) = frac{y}{11} + frac{11}{y^{2} + 6y})
= (frac{y}{11} + frac{11}{y(y + 6)})