Question 32 - Week 5 Practice | Prasnya
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Week 5
Question 32
00:00
Est. 3 min
Marks:
+5.00
0.00
Choose the set of correct options.
Multiple correct
MEDIUM Difficulty
20 November 2022
A
The function
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
such that
f
(
x
)
=
x
+
x
2
f(x)=x+\sqrt{x^2}
is not onto.
B
The function
f
(
x
)
=
x
2
−
2
x
+
3
f(x)=x^2-2x+3
is increasing.
C
The function
f
(
x
)
=
(
1
+
3
x
)
2
3
x
f(x)=\frac{(1+3^x)^2}{3^x}
is odd.
D
If
f
f
is an invertible decreasing function, then
f
−
1
f^{-1}
is also a decreasing function.
