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Given the function f(x)= cases x+2, & x<2
MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions
Problem
Given the function
f
(
x
)
=
{
x
+
2
,
x
<
2
,
x
2
−
3
,
x
≥
2
,
f(x)=\begin{cases} x+2, & x<2,\\ x^{2}-3, & x\ge 2, \end{cases}
f
(
x
)
=
{
x
+
2
,
x
2
−
3
,
x
<
2
,
x
≥
2
,
find
f
(
f
(
1
)
)
f(f(1))
f
(
f
(
1
))
.
Related theory
Special Functions
Composition of Functions
Functions
Composite functions
Relations and Functions
Exponential and Logarithmic Functions
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