1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=\frac{x}{2 x+1}$$ and $$g(x)=\frac{x}{x+1}$$, then $$(f \circ g)(x)=$$

A
$$\frac{2 x-1}{x+1}$$
B
$$\frac{x}{3 x+1}$$
C
$$\frac{x+1}{x+2}$$
D
$$\frac{x-1}{2 x+1}$$
2
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The domain of the function $$\log _{10}\left(x^2-5 x+6\right)$$ is

A
$$(-\infty, \infty)$$
B
$$(-\infty, 2) \cup(3, \infty)$$
C
$$(2,3)$$
D
None of these
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Range of the function $$f(x)=3+2^x+4^x$$ is

A
$$(3, \infty)$$
B
$$(-\infty, \infty)$$
C
$$[3, \infty)$$
D
$$(-\infty, 3]$$
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=[8 x]-3$$, where $$[x]$$ is greatest integer function of $$x$$, then $$f(\pi)=$$ (where $$\pi=3,14$$)

A
21
B
25
C
23
D
22
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