Mathematics

Mathematics

Problem

Indicate the correct alternative, if

f(x) = \frac{x}{2} - 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))

and

f^{-1}(x)

are both continuous d.

\tan(f(x))

is continuous but

\frac{1}{f(x)}

is not continuous

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