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h
(
x
)
=
4
x
h(x)=\sqrt{4x}
h
(
x
)
=
4
x
\newline
The function
h
h
h
is defined. What is the value of
h
(
9
)
h(9)
h
(
9
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
3
\text{(A)}\ 3
(A)
3
\newline
(B)
6
\text{(B)}\ 6
(B)
6
\newline
(C)
12
\text{(C)}\ 12
(C)
12
\newline
(D)
36
\text{(D)}\ 36
(D)
36
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Math Problems
Calculus
Find derivatives of logarithmic functions
Full solution
Q.
h
(
x
)
=
4
x
h(x)=\sqrt{4x}
h
(
x
)
=
4
x
\newline
The function
h
h
h
is defined. What is the value of
h
(
9
)
h(9)
h
(
9
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
3
\text{(A)}\ 3
(A)
3
\newline
(B)
6
\text{(B)}\ 6
(B)
6
\newline
(C)
12
\text{(C)}\ 12
(C)
12
\newline
(D)
36
\text{(D)}\ 36
(D)
36
Substitute
x
x
x
with
9
9
9
:
To find the value of
h
(
9
)
h(9)
h
(
9
)
, we need to substitute
x
x
x
with
9
9
9
in the function
h
(
x
)
=
4
x
h(x) = \sqrt{4x}
h
(
x
)
=
4
x
.
\newline
Calculation:
h
(
9
)
=
4
×
9
h(9) = \sqrt{4 \times 9}
h
(
9
)
=
4
×
9
Simplify expression:
Now we simplify the expression by multiplying
4
4
4
by
9
9
9
.
\newline
Calculation:
4
×
9
=
36
\sqrt{4 \times 9} = \sqrt{36}
4
×
9
=
36
Find square root:
Next, we find the
square root
of
36
36
36
.
\newline
Calculation:
36
=
6
\sqrt{36} = 6
36
=
6
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