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Mathematics
Mathematics
Problem
State the domain and range of each function: a. a
f
(
x
)
=
x
+
6
f(x) = \sqrt{x+6}
f
(
x
)
=
x
+
6
b. b
f
:
x
↦
1
x
2
f: x \mapsto \frac{1}{x^2}
f
:
x
↦
x
2
1
c. c
f
(
x
)
=
1
x
+
1
f(x) = \frac{1}{x+1}
f
(
x
)
=
x
+
1
1
d. d
y
=
−
1
x
y = -\frac{1}{\sqrt{x}}
y
=
−
x
1
e. e
f
:
x
↦
1
3
−
x
f: x \mapsto \frac{1}{3-x}
f
:
x
↦
3
−
x
1
f. f
f
:
x
↦
4
−
x
f: x \mapsto \sqrt{4-x}
f
:
x
↦
4
−
x
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