Two functions f and g are defined on the set of real numbers by (f : x to x^{2} + 1) and (g : x to x – 2). Find f o g.
-
A.
(x^{2} + 4x – 5) -
B.
(x^{2} – 4x + 5) -
C.
(x^{2} – 1) -
D.
(x – 1)
Correct Answer: Option B
Explanation
(f(x) = x^{2} + 1) and (g(x) = x – 2)
(f o g = f(g(x)) = f(x – 2) = (x – 2)^{2} + 1 )
= (x^{2} – 4x + 4 + 1 = x^{2} – 4x + 5)