28
MCQ (Single Correct Answer)
Domain of $\sqrt{a^2-x^2}(a>0)$ is
A
$(-a, a)$
B
$[-a, a]$
C
$[0, a]$
D
$(-a, 0]$
29
MCQ (Single Correct Answer)
If $f(x)=a x+b$, where $a$ and $b$ are integers, $f(-1)=-5$ and $f(3)=3$, then $a$ and $b$ are equal to
A
$a=-3, b=-1$
B
$a=2, b=-3$
C
$a=0, b=2$
D
$a=2, b=3$
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 $=[0, \infty)$