f(x)=. sec (x-1) find the domain
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Answer:
related answer
By rewriting a bit,
f
(
x
)
=
sec
x
=
1
cos
x
.
Since the denominator cannot be zero, we need to exclude numbers that make
cos
x
equal to zero.
Since for all integer
n
,
cos
(
π
2
+
n
π
)
=
cos
(
2
n
+
1
2
π
)
=
0
,
the domain of
f
is all real numbers except for
x
=
2
n
+
1
2
π
for all integer
n
.
I hope that this was helpful.
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