Let \(f, g : \mathbb{R} \rightarrow \mathbb{R}\) be given by

and f(x) = x2 and g(x) = sin x

Which of the following functions is uniformly continuous on \(\mathbb{R}\)?

1
h(x) = g(f(x))
2
h(x) = g(x)f(x)
3
h(x) = f(g(x))
4
h(x) = f(x) + g(x)

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