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Mathematics
Mathematics
Problem
56. Find the domain and range of each of the following functions. (a)
f
(
x
)
=
sin
(
sin
−
1
x
)
f(x)=\sin \left(\sin ^{-1} x\right)
f
(
x
)
=
sin
(
sin
−
1
x
)
(b)
g
(
x
)
=
sin
−
1
(
x
)
+
cos
−
1
(
x
)
g(x)=\sin ^{-1}(x)+\cos ^{-1}(x)
g
(
x
)
=
sin
−
1
(
x
)
+
cos
−
1
(
x
)
(c)
h
(
x
)
=
sin
−
1
(
sin
x
)
h(x)=\sin ^{-1}(\sin x)
h
(
x
)
=
sin
−
1
(
sin
x
)
(d)
k
(
x
)
=
sin
(
cos
−
1
x
)
k(x)=\sin \left(\cos ^{-1} x\right)
k
(
x
)
=
sin
(
cos
−
1
x
)
(e)
q
(
x
)
=
cos
−
1
(
sin
x
)
q(x)=\cos ^{-1}(\sin x)
q
(
x
)
=
cos
−
1
(
sin
x
)
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