Compose Two Functions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
Card 1
of 35
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What is the domain of
(
g
∘
f
)
(
x
)
(g\circ f)(x)
(
g
∘
f
)
(
x
)
if
f
(
x
)
=
1
x
f(x)=\frac{1}{x}
f
(
x
)
=
x
1
and
g
(
x
)
=
x
−
4
g(x)=x-4
g
(
x
)
=
x
−
4
?
QUESTION
Find
(
f
∘
g
)
(
x
)
(f\circ g)(x)
(
f
∘
g
)
(
x
)
if
f
(
x
)
=
x
2
−
1
f(x)=x^2-1
f
(
x
)
=
x
2
−
1
and
g
(
x
)
=
x
+
3
g(x)=x+3
g
(
x
)
=
x
+
3
.
QUESTION
What is the domain of
(
g
∘
f
)
(
x
)
(g\circ f)(x)
(
g
∘
f
)
(
x
)
if
f
(
x
)
=
2
x
−
1
f(x)=2x-1
f
(
x
)
=
2
x
−
1
and
g
(
x
)
=
x
g(x)=\sqrt{x}
g
(
x
)
=
x
?
Tap to flip before you grade
ANSWER
Domain:
x
≥
1
2
x\ge \frac{1}{2}
x
≥
2
1
. Need
2
x
−
1
≥
0
2x-1\ge 0
2
x
−
1
≥
0
, so
x
≥
1
2
x\ge \frac{1}{2}
x
≥
2
1
.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card