Functions and Function Notation
GRE · Flashcards · Application
GRE · FLASHCARDS
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QUESTION
What is
g
(
f
(
x
)
)
g(f(x))
g
(
f
(
x
))
if
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
and
g
(
x
)
=
x
−
1
g(x)=x-1
g
(
x
)
=
x
−
1
?
QUESTION
What is the domain of
f
(
x
)
=
5
−
x
f(x)=\sqrt{5-x}
f
(
x
)
=
5
−
x
in interval notation?
QUESTION
What is the domain of
f
(
x
)
=
x
+
1
f(x)=\sqrt{x+1}
f
(
x
)
=
x
+
1
in interval notation?
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ANSWER
[
−
1
,
∞
)
[-1,\infty)
[
−
1
,
∞
)
. Require the expression inside the square root to be non-negative to yield real outputs.
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