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Let’s check out your problem:
Given
f
(
x
)
=
4
x
2
+
10
x
f(x)=4 x^{2}+10 x
f
(
x
)
=
4
x
2
+
10
x
, find
f
(
−
4
)
f(-4)
f
(
−
4
)
\newline
Answer:
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Math Problems
Algebra 2
Evaluate expression when a complex numbers and a variable term is given
Full solution
Q.
Given
f
(
x
)
=
4
x
2
+
10
x
f(x)=4 x^{2}+10 x
f
(
x
)
=
4
x
2
+
10
x
, find
f
(
−
4
)
f(-4)
f
(
−
4
)
\newline
Answer:
Substitute
x
x
x
with
−
4
-4
−
4
:
Substitute
x
x
x
with
−
4
-4
−
4
in the function
f
(
x
)
=
4
x
2
+
10
x
f(x) = 4x^2 + 10x
f
(
x
)
=
4
x
2
+
10
x
.
\newline
f
(
−
4
)
=
4
(
−
4
)
2
+
10
(
−
4
)
f(-4) = 4(-4)^2 + 10(-4)
f
(
−
4
)
=
4
(
−
4
)
2
+
10
(
−
4
)
Calculate square of
−
4
-4
−
4
:
Calculate the square of
−
4
-4
−
4
.
(
−
4
)
2
=
16
(-4)^2 = 16
(
−
4
)
2
=
16
Multiply
4
4
4
by
−
4
-4
−
4
square:
Multiply
4
4
4
by the square of
−
4
-4
−
4
.
4
×
16
=
64
4 \times 16 = 64
4
×
16
=
64
Multiply
10
10
10
by
−
4
-4
−
4
:
Multiply
10
10
10
by
−
4
-4
−
4
.
\newline
10
×
(
−
4
)
=
−
40
10 \times (-4) = -40
10
×
(
−
4
)
=
−
40
Add results from Step
3
3
3
and Step
4
4
4
:
Add the results from Step
3
3
3
and Step
4
4
4
.
f
(
−
4
)
=
64
−
40
f(-4) = 64 - 40
f
(
−
4
)
=
64
−
40
Calculate final value:
Calculate the final value of
f
(
−
4
)
f(-4)
f
(
−
4
)
.
f
(
−
4
)
=
24
f(-4) = 24
f
(
−
4
)
=
24
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