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1.Relation and Function
easy
જો વિધેય $f(x) = \frac{1}{2} - \tan \left( {\frac{{\pi x}}{2}} \right)$; $( - 1 < x < 1)$ અને $g(x) = \sqrt {3 + 4x - 4{x^2}} $, તો $gof$ નો પ્રદેશ મેળવો.
A
$( - 1,\;1)$
B
$\left[ { - \frac{1}{2},\;\frac{1}{2}} \right]$
C
$\left[ { - 1,\;\frac{1}{2}} \right]$
D
$\left[ { - \frac{1}{2},\; - 1} \right]$
(IIT-1990)
Solution
(a) Since domain of $f$ and domain of composite function $gof$ are same.
Standard 12
Mathematics
