College Algebra Quiz
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FUNCTIONS & GRAPHS
Question 1
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Consider the function
h
(
x
)
=
3
x
−
2
+
1
h(x) = \sqrt{3x - 2} + 1
h
(
x
)
=
3
x
−
2
+
1
. Which of the following correctly represents the inverse function
h
−
1
(
x
)
h^{-1}(x)
h
−
1
(
x
)
?
A
h
−
1
(
x
)
=
(
x
−
1
)
2
+
2
3
h^{-1}(x) = \frac{(x - 1)^2 + 2}{3}
h
−
1
(
x
)
=
3
(
x
−
1
)
2
+
2
for
x
≥
1
x \geq 1
x
≥
1
B
h
−
1
(
x
)
=
(
x
+
1
)
2
+
2
3
h^{-1}(x) = \frac{(x + 1)^2 + 2}{3}
h
−
1
(
x
)
=
3
(
x
+
1
)
2
+
2
for
x
≥
−
1
x \geq -1
x
≥
−
1
C
h
−
1
(
x
)
=
x
2
−
2
x
+
3
3
h^{-1}(x) = \frac{x^2 - 2x + 3}{3}
h
−
1
(
x
)
=
3
x
2
−
2
x
+
3
for
x
≥
1
x \geq 1
x
≥
1
D
h
−
1
(
x
)
=
(
x
−
1
)
2
+
2
3
h^{-1}(x) = \frac{(x - 1)^2 + 2}{3}
h
−
1
(
x
)
=
3
(
x
−
1
)
2
+
2
for
x
≥
0
x \geq 0
x
≥
0
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