Math 3 Quiz
15 questions · no time limit
0:00
Finish quiz
ALGEBRA & FUNCTIONS
Question 1
of 15
Flag for review
No time limit
Current
Answered
Flagged
Not seen
The function
h
(
x
)
=
2
x
+
3
−
4
h(x) = 2^{x+3} - 4
h
(
x
)
=
2
x
+
3
−
4
has an inverse function. What is the domain of
h
−
1
(
x
)
h^{-1}(x)
h
−
1
(
x
)
?
A
(
−
4
,
∞
)
(-4, \infty)
(
−
4
,
∞
)
because the range of
h
(
x
)
h(x)
h
(
x
)
excludes values at and below
−
4
-4
−
4
B
(
−
∞
,
∞
)
(-\infty, \infty)
(
−
∞
,
∞
)
because exponential functions are defined for all real numbers
C
[
0
,
∞
)
[0, \infty)
[
0
,
∞
)
because logarithmic inverses require non-negative arguments for real outputs
D
(
0
,
∞
)
(0, \infty)
(
0
,
∞
)
because the inverse involves
log
2
(
x
+
4
)
\log_2(x+4)
lo
g
2
(
x
+
4
)
which requires
x
>
−
4
x > -4
x
>
−
4
YOUR PROGRESS
15
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
KEYBOARD
Pick an answer
A
B
C
D
Next question
↵
→
Previous
←
Flag for review
F