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1
KCET 2026
MCQ (Single Correct Answer)
+1
-0
$f(x) = (x-1)^2$ for $x \geq 1$, $g(x)$ is a function whose graph is the reflection of the graph of $f(x)$ in the line $y = x$, then $g(x)$ is
A
$-\sqrt{x} + 1$
B
$\sqrt{x} - 1$
C
$\sqrt{x} + 1$
D
$\sqrt{x - 1}$
2
KCET 2026
MCQ (Single Correct Answer)
+1
-0
The domain of the function $\sqrt{\dfrac{x-7}{9-x}}$ is
A
$[7, 9]$
B
$[7, 9)$
C
$(7, 9]$
D
$(7, 9)$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Domain of the function $f$, given by $f(x)=\frac{1}{\sqrt{(x-2)(x-5)}}$ is

A
$(-\infty, 2] \cup[5, \infty)$
B
$(-\infty, 2) \cup(5, \infty)$
C
$(-\infty, 3) \cup[5, \infty)$
D
$(-\infty, 3] \cup(5, \infty)$
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\sin \left[\pi^2\right] x-\sin \left[-\pi^2\right] x$, where $[x]=$ greatest integer $\leq x$, then which of the following is not true?

A
$f(0)=0$
B
$f\left(\frac{\pi}{2}\right)=1$
C
$f\left(\frac{\pi}{4}\right)=1+\frac{1}{\sqrt{2}}$
D
$f(\pi)=-1$
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