The functions f and g are defined on the set, R, of real numbers by (f : x to x^{2} – x – 6) and (g : x to x – 1). Find (f circ g(3)).
-
A.
-8 -
B.
-6 -
C.
-4 -
D.
-3
Correct Answer: Option C
Explanation
(f : x to x^{2} – x – 6); (g : x to x – 1)
(g(3) = 3 – 1 = 2)
(f(g(3)) = f(2) = 2^{2} – 2 – 6 = 4 – 2 – 6 = -4)