Answer:
Let g(x) = sin |x|
Let g(x) = sin x and h(x) = |x|
f(x) = (goh) (x) = g[h(x)]
= g(|x|) = sin |x|
Since sine and modulus functions are everywhere continuous therefore g and h are continuous function. As composite function of two continuous function is continuous, so f is a continuous function.
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