1
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\mathrm{f}: \mathbb{R}-\left(-\frac{3}{5}\right) \rightarrow \mathbb{R}$$ is defined by $$f(x)=\frac{3 x-2}{5 x+3}$$, then $$f \circ f(1)$$ is

A
1
B
$$\frac{-13}{29}$$
C
$$\frac{13}{29}$$
D
$$-1$$
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$[x]$$ is greatest integer function and $$2[2 x-5]-1=7$$, then $$x$$ lies in

A
$$\left(\frac{9}{2}, 5\right)$$
B
$$\left(\frac{9}{2}, 5\right]$$
C
$$\left[\frac{9}{2}, 5\right]$$
D
$$\left[\frac{9}{2}, 5\right)$$
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=2\{x\}+5 x$$, where $$\{x\}$$ is fractional part function, then $$f(-1.4)$$ is

A
8.2
B
$$-8.2$$
C
$$-5.8$$
D
$$-5$$
4
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
$$\frac{x-1}{2 x+1}$$

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