Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
f
(
x
)
=
sin
x
+
cos
x
f(x) = \sin x + \cos x
f
(
x
)
=
sin
x
+
cos
x
,
g
(
x
)
=
x
2
−
1
g(x) = x^2 - 1
g
(
x
)
=
x
2
−
1
, then
g
{
f
(
x
)
}
g\{f(x)\}
g
{
f
(
x
)}
is invertible in the domain a.
[
0
,
π
2
]
\left[0, \frac{\pi}{2}\right]
[
0
,
2
π
]
b.
[
−
π
4
,
π
4
]
\left[-\frac{\pi}{4}, \frac{\pi}{4}\right]
[
−
4
π
,
4
π
]
c.
[
−
π
2
,
π
2
]
\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]
[
−
2
π
,
2
π
]
d.
[
0
,
π
]
[0, \pi]
[
0
,
π
]
Browse the problem library