1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{f}(x)=\frac{a x}{x+1}, x \neq-1$, then for $\alpha=$ ________, $\mathrm{f}(\mathrm{f}(x))=x$.

A
$\sqrt{2}$
B
$-\sqrt{2}$
C
1
D
$-$1
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The domain of definition of the function $y(x)$ is given by the equation $2^x+2^y=2$, is

A
$0< x \leq 1$
B
$0 \leq x \leq 1$
C
$-\infty< x \leq 0$
D
$-\infty< x<1$
3
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The domain of definition of the function $f(x)$ given by the equation $2^x+2^y=2$ is

A
$0< x \leqslant 1$
B
$0 \leqslant x \leqslant 1$
C
$-\infty< x \leqslant 0$
D
$-\infty< x<1$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{f}(x)=\frac{x}{2-x}, \mathrm{~g}(x)=\frac{x+1}{x+2}$, then (gogof) $(x)=$

A
$\frac{6+x}{10-2 x}$
B
$\frac{6-x}{10+2 x}$
C
$\frac{6+x}{10+2 x}$
D
$\frac{6-x}{10-2 x}$
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