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Let’s check out your problem:
Given the function
f
(
x
)
=
−
8
x
+
2
f(x)=-8 x+2
f
(
x
)
=
−
8
x
+
2
, find the value of
f
(
1
2
)
f\left(\frac{1}{2}\right)
f
(
2
1
)
in simplest form.
\newline
Answer:
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Math Problems
Algebra 1
Slope-intercept form: find the slope and y-intercept
Full solution
Q.
Given the function
f
(
x
)
=
−
8
x
+
2
f(x)=-8 x+2
f
(
x
)
=
−
8
x
+
2
, find the value of
f
(
1
2
)
f\left(\frac{1}{2}\right)
f
(
2
1
)
in simplest form.
\newline
Answer:
Identify Function and Input:
Identify the function and the input value.
\newline
The function given is
f
(
x
)
=
−
8
x
+
2
f(x) = -8x + 2
f
(
x
)
=
−
8
x
+
2
, and we need to find the value of
f
(
1
2
)
f\left(\frac{1}{2}\right)
f
(
2
1
)
.
Substitute Input into Function:
Substitute the input value into the function.
\newline
f
(
1
2
)
=
−
8
×
1
2
+
2
f\left(\frac{1}{2}\right) = -8 \times \frac{1}{2} + 2
f
(
2
1
)
=
−
8
×
2
1
+
2
Perform Multiplication:
Perform the multiplication.
\newline
−
8
×
1
2
=
−
8
2
=
−
4
-8 \times \frac{1}{2} = -\frac{8}{2} = -4
−
8
×
2
1
=
−
2
8
=
−
4
Add Constant Term:
Complete the calculation by adding the constant term.
f
(
1
2
)
=
−
4
+
2
f\left(\frac{1}{2}\right) = -4 + 2
f
(
2
1
)
=
−
4
+
2
Simplify Expression:
Simplify the expression to find the final value.
f
(
1
2
)
=
−
2
f\left(\frac{1}{2}\right) = -2
f
(
2
1
)
=
−
2
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