Question about the tangent function

**yazzen** · April 6th 2011, 04:04 AM

can someone solve and explain this questions

first question

Consider the function defined by F(x)= -4tan (2x + Pi) . what is the Domain of F? and
the range

seconed question

If the graph of the function F(x) = 2 cot(bx + c) has period 2Pi/3 and Phase shift Pi/2 to the left

then Find F(Pi) ?

**FernandoRevilla** · April 6th 2011, 04:37 AM

Originally Posted by yazzen

first question

Consider the function defined by F(x)= -4tan (2x + Pi) . what is the Domain of F? and the range

Hint :

The range of $f(x)=\tan x$ is $\mathbb{R}$ .

On the other hand

$x\not\in D(f)\Leftrightarrow x=(\pi/2)+k\pi \quad (k\in\mathbb{Z})$ .

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