1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x) = \dfrac{2x - 1}{x + 5}$, $x \neq -5$ then $f^{-1}(x)$ is equal to
A
$\dfrac{x + 5}{2x - 1}$, $x \neq \dfrac{1}{2}$
B
$\dfrac{5x + 1}{2 - x}$, $x \neq 2$
C
$\dfrac{5x - 1}{2 - x}$, $x \neq 2$
D
$\dfrac{x - 5}{2x + 1}$, $x \neq -\dfrac{1}{2}$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The domain of the function $f(x) = \sqrt{x - 1} + \sqrt{6 - x}$ is...
A
$[1, \infty)$
B
$[1, 6]$
C
$(-\infty, 1)$
D
$(6, \infty)$
3
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The domain of the function $f(x) = {}^{(10-x)}C_{(x-6)}$ is...
A
$[6, 10]$
B
$\{6, 7, 8, 9, 10\}$
C
$[6, 8]$
D
$\{6, 7, 8\}$
4
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $g(x) = 1 - \sqrt{x}$ and $f(g(x)) = 5 + 4\sqrt{x} + x$, then the value of $f(6)$ is...
A
$5$
B
$10$
C
$15$
D
$20$

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