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Let be given by .
MATHEMATICS · Multi-part · AoPS · Mathematics · Functions · Functions
Problem
Let
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
be given by
f
(
x
)
=
2
x
3
−
5
x
+
1
f(x)=2x^{3}-5x+1
f
(
x
)
=
2
x
3
−
5
x
+
1
. (i) Find
f
(
−
1
)
f(-1)
f
(
−
1
)
. (ii) Calculate
f
(
2
)
f(2)
f
(
2
)
. (iii) Simplify
f
(
a
+
1
)
−
f
(
a
)
f(a+1)-f(a)
f
(
a
+
1
)
−
f
(
a
)
, where
a
a
a
is any real number.
Related theory
Polynomials
Algebra of Functions
Functions
Algebra
Relations and Functions
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