If \( f(x)=\left(\frac{x}{2}\right)-1 \), then on the interval \( [0, \pi] \) (a) \( \tan (f(x))...

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If \( f(x)=\left(\frac{x}{2}\right)-1 \), then on the interval \( [0, \pi] \)
(a) \( \tan (f(x)) \) and \( \frac{1}{f(x)} \) are both continuous.
(b) \( \tan (f(x)) \) and \( \frac{1}{f(x)} \) are both discontinuous.
(c) \( \tan (f(x)) \) continuous and \( \frac{1}{f(x)} \) discontinuous.
(d) \( \tan f(x) \) is discontinuous and \( \frac{1}{f(x)} \) continuous.
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