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For and , answer the…
MATHEMATICS · Multi-part · AoPS · Mathematics · Functions · Functions
Problem
For
f
(
x
)
=
x
2
+
2
x
f(x)=x^{2}+2x
f
(
x
)
=
x
2
+
2
x
and
g
(
x
)
=
3
x
−
4
g(x)=3x-4
g
(
x
)
=
3
x
−
4
, answer the following: (i) Find
(
f
+
g
)
(
x
)
(f+g)(x)
(
f
+
g
)
(
x
)
. (ii) Hence, evaluate
(
f
+
g
)
(
−
1
)
(f+g)(-1)
(
f
+
g
)
(
−
1
)
.
Related theory
Algebra of Functions
Functions
Composition of functions
Relations and Functions
Exponential and Logarithmic Functions
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