Find and Write an Inverse Function
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
of 26
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What is the domain restriction for
f
(
x
)
=
x
+
1
x
−
1
f(x)=\frac{x+1}{x-1}
f
(
x
)
=
x
−
1
x
+
1
?
QUESTION
What identity must be true if
f
f
f
and
f
−
1
f^{-1}
f
−
1
are inverses?
QUESTION
What domain restriction makes
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
invertible as a function?
Tap to flip before you grade
ANSWER
Restrict to
x
≥
0
x\ge 0
x
≥
0
or restrict to
x
≤
0
x\le 0
x
≤
0
. These restrictions make
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
one-to-one.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card