Let \( f \) be a constant function with domain \( R \) and \( g \) be a certain function with do...

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Let \( f \) be a constant function with domain \( R \) and \( g \) be a certain function with domain \( R \). Two ordered pairs in \( f \) are \( \left(4, a^{2}-5\right) \) and \( (2,4 a-9) \) for some real number \( a \). Also domain of \( \frac{f}{g} \) is \( \mathrm{R}-\{7\} \). Then
(a) \( a=2 \)
(b) \( (f(10))^{100}=1 \)
(c) \( (100)^{g(7)}=1 \)
(d) \( \int_{0}^{1} f(x) d x=1 \)
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