1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The domain of the function $$y=\frac{1}{\log _{10}(3-x)}+\sqrt{x+7}$$ is

A
$$[-7,3]-\{1\}$$
B
$$(-7,3)-\{0\}$$
C
$$[-7,3)-\{2\}$$
D
$$(-7,3)$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$2 f\left(x^2\right)+3 f\left(\frac{1}{x^2}\right)=x^2-1, \forall x \in R-\{0\}$$, then $$f\left(x^8\right)$$ is equal to

A
$$\frac{\left(1-x^8\right)\left(2 x^8+3\right)}{5 x^8}$$
B
$$\frac{\left(1+x^8\right)\left(2 x^8-3\right)}{5 x^8}$$
C
$$\frac{\left(1-x^8\right)\left(2 x^8-3\right)}{5 x^8}$$
D
None of these
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The range of $$x$$ which satisfy the inequation : $$-5 \leq \frac{2-3 x}{4} \leq 9$$ is

A
$$ \left(-\frac{34}{3},-\frac{22}{3}\right) $$
B
$$ \left[-\frac{34}{3}, \frac{22}{3}\right) $$
C
$$ \left[-\frac{34}{3}, 8\right] $$
D
$$ \left[-\frac{34}{3}, \frac{22}{3}\right] $$
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The approximate value of $$(0.007)^{1/3}$$ is

A
$$\frac{21}{120}$$
B
$$\frac{23}{120}$$
C
$$\frac{29}{120}$$
D
$$\frac{31}{120}$$
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