1
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
$-\infty< x<1$
2
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
$\frac{6-x}{10-2 x}$
3
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The domain of definition of $\mathrm{f}(x)=\frac{\log _2(x+3)}{x^2+3 x+2}$ is

A
$\mathrm{R}-\{1,2\}$
B
$(-2, \infty)$
C
$\mathrm{R}-\{-1,-2,-3\}$
D
$(-3, \infty)-\{-1,-2\}$
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $g(x)=x^2+x-1$ and (gof) $(x)=4 x^2-10 x+5$, then $\mathrm{f}(2)$ is equal to

A
1
B
$-$1
C
2
D
$-$2
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