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Let’s check out your problem:
If
f
(
x
)
=
2
x
3
−
2
,
f(x)=2x^3-2,
f
(
x
)
=
2
x
3
−
2
,
what is the value of
f
(
2
)
?
f(2)?
f
(
2
)?
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Math Problems
Calculus
Find derivatives of exponential functions
Full solution
Q.
If
f
(
x
)
=
2
x
3
−
2
,
f(x)=2x^3-2,
f
(
x
)
=
2
x
3
−
2
,
what is the value of
f
(
2
)
?
f(2)?
f
(
2
)?
Substitute
x
x
x
with
2
2
2
:
Substitute
x
x
x
with
2
2
2
in the function
f
(
x
)
=
2
x
3
−
2
f(x) = 2x^3 - 2
f
(
x
)
=
2
x
3
−
2
.
\newline
f
(
2
)
=
2
(
2
)
3
−
2
f(2) = 2(2)^3 - 2
f
(
2
)
=
2
(
2
)
3
−
2
Calculate
2
3
2^3
2
3
:
Calculate the value of
2
3
2^3
2
3
.
\newline
2
3
=
8
2^3 = 8
2
3
=
8
Multiply by
2
2
2
:
Multiply the result from Step
2
2
2
by
2
2
2
.
\newline
2
×
8
=
16
2 \times 8 = 16
2
×
8
=
16
Subtract
2
2
2
:
Subtract
2
2
2
from the result of Step
3
3
3
to find
f
(
2
)
f(2)
f
(
2
)
.
\newline
f
(
2
)
=
16
−
2
f(2) = 16 - 2
f
(
2
)
=
16
−
2
Calculate final result:
Calculate the final result.
f
(
2
)
=
14
f(2) = 14
f
(
2
)
=
14
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