Given that (f(x) = 2x^{2} – 3) and (g(x) = x + 1) where (x in R). Find g o f(x).
-
A.
(2(x^{2} – 1)) -
B.
(2x^{2} + 4x – 1) -
C.
(2x^{2} + 6x – 1) -
D.
(3(x^{2} – 1))
Correct Answer: Option A
Explanation
(f(x) = 2x^{2} – 3; g(x) = x + 1)
(g o f(x) = g (2x^{2} – 3))
= ( 2x^{2} – 3 + 1 = 2x^{2} – 2 = 2(x^{2} – 1))