30
MCQ (Single Correct Answer)
The domain of the function $f$ defined by $f(x)=\sqrt{4-x}+\frac{1}{\sqrt{x^2-1}}$ is equal to
A
$(-\infty,-1) \cup(1,4]$
B
$(-\infty,-1] \cup(1,4]$
C
$(-\infty,-1) \cup[1,4]$
D
$(-\infty,-1) \cup[1,4)$
31
MCQ (Single Correct Answer)
The domain and range of the real function $f$ defined by $f(x)=\frac{4-x}{x-4}$ is given by
A
Domain $=R$, Range $=\{-1,1\}$
B
Domain $=R-\{1\}$, Range $=R$
C
Domain $=R-\{4\}$, Range $=\{-1\}$
D
Domain $=R-\{-4\}$, Range $=\{-1,1\}$
32
MCQ (Single Correct Answer)
The domain and range of real function $f$ defined by $f(x)=\sqrt{x-1}$ is given by
A
Domain $=(1, \infty)$, Range $=(0, \infty)$
B
Domain $=[1, \infty)$, Range $=(0, \infty)$
C
Domain $=(1, \infty)$, Range $=[0, \infty)$
D
Domain $=[1, \infty)$, Range $=[0, \infty)$
33
MCQ (Single Correct Answer)
The domain of the function $f$ given by $f(x)=\frac{x^2+2 x+1}{x^2-x-6}$.
A
$R-\{3,-2\}$
B
$R-\{-3,2\}$
C
$R-[3,-2]$
D
$R-(3,-2)$
34
MCQ (Single Correct Answer)
The domain and range of the function $f$ given by $f(x)=2-|x-5|$ is
A
Domain $=R^{+}$, Range $=(-\infty, 1]$
B
Domain $=R$, Range $=[-\infty, 2]$
C
Domain $=R$, Range $=(-\infty, 2)$
D
Domain $=R^{+}$, Range $=(-\infty, 2]$