Question 38
FunctionsGiven that f(x) = 2x2 − 3 and g(x) = x + 1, where x ∈ R, find g o f(x).
- A.2(x2 − 1)
- B.2x2 + 4x − 1
- C.2x2 + 6x − 1
- D.3(x2 − 1)
Show the answer and explanation
Answer: A (2(x2 − 1))
Explanation
g(f(x)) = (2x² − 3) + 1 = 2x² − 2 = 2(x² − 1).