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Consider and .
MATHEMATICS · Multi-part · AoPS · Mathematics · Functions · Functions
Problem
Consider
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
and
g
(
x
)
=
1
−
6
x
g(x) = 1 - 6x
g
(
x
)
=
1
−
6
x
. (1) a** Show that
f
(
−
3
)
=
g
(
−
4
3
)
f(-3) = g(-\frac{4}{3})
f
(
−
3
)
=
g
(
−
3
4
)
. (2)
b
Find
x
x
x
such that
g
(
x
)
=
f
(
5
)
g(x) = f(5)
g
(
x
)
=
f
(
5
)
.
Related theory
Algebra of Functions
Functions
Composition of functions
Relations and Functions
Exponential and Logarithmic Functions
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