1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If the function is $$f(x)=\frac{1}{x+2}$$, then the point of discontinuity of the composite function $$y=f(f(x))$$ is

A
$$\frac{5}{2}$$
B
$$\frac{2}{5}$$
C
$$\frac{1}{2}$$
D
$$\frac{-5}{2}$$
2
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The domain of the function $$f(x)=\frac{1}{\log _{10}(1-x)}+\sqrt{x+2}$$ is

A
$$[-2,0) \cap(0,1)$$
B
$$[-2,1)$$
C
$$[-2,0)$$
D
$$[-2,0) \cup(0,1)$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$f: R \rightarrow R$$ be defined by

$$f(x)=\left\{\begin{array}{llc} 2 x: & x>3 \\ x^2: & 1< x \leq 3 \\ 3 x: & x \leq 1 \end{array}\right.$$

then $$f(-1)+f(2)+f(4)$$ is

A
5
B
10
C
9
D
14
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

Domain of $$f(x)=\frac{x}{1-|x|}$$ is

A
$$R-[-1,1]$$
B
$$(-\infty, 1)$$
C
$$(-\infty, 1) \cup(0,1)$$
D
$$R-\{-1,1\}$$
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