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Answer:
Choice B.
Step-by-step explanation:
Since h(x) equals (g o f)(x):
f(x) is substituted for x in the equation g(x). We can go through the answer choices and choose the most suitable choice by substitution:
A. f(x) = x, g(x) = x/ x + 1
(g o f)(x) = x / x + 1. This is incorrect.
B. f(x) = x², g(x) = x / x + 1
(g o f)(x) = x² / x² + 1. This matches h(x), so this is correct.
C. f(x) = x + 1, g(x) = 1/x²
(g o f)(x) = 1/(x² + 2x + 1). This is incorrect.
D. f(x) = x + 1, g(x) = x²
(g o f)(x) = x² + 2x + 1. This is incorrect.
Therefore, B is the correct answer.
