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

$$\text { Which of the following function is injective? }$$

A
$$ f(x)=x^2+2, x \in(-\infty, \infty) $$
B
$$ f(x)=|x+2|, x \in[-2, \infty) $$
C
$$ f(x)=\frac{4 x^2+3 x-5}{4+3 x-5 x^2}, x \in(-\infty, \infty) $$
D
$$ f(x)=(x-4)(x-5), x \in(-\infty, \infty) $$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$f: R \rightarrow R$$ be a function defined by $$f=\frac{e^{|x|}-e^{-x}}{e^x+e^{-x}}$$ then

A
$$f$$ is an injection but not a surjection function
B
$$f$$ is a surjection but not an injection function
C
$$f$$ is neither an injection nor a surjection
D
$$f$$ is injection and surjection
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following is not a homogenous function of $$x$$ and $$y$$

A
$$ \sin x-\cos y $$
B
$$ \cos ^2\left(\frac{y}{x}\right)+\frac{y}{x} $$
C
$$ x^2+2 x y $$
D
$$ 2 x-y $$
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