Class notes APPM 1350 1.2 Second Half

1.2 Cont.
Other Classes of Functions Cont
• Rational Functions
f(c)
eas
Let PC) and qcks be polynomials, then
=
(UK) 1) agrational function
* constructal w/ addition, subtraction, multiplication division
•Algebraic Functions
* Constructed w/ adlitions, subtraction, multiplication; divisions roots
Examples:

9x3-4x² + Rational, Algebraic 3x² + 96 32 Algebraic
7x-8x5
Cos(x)→
2
Trigonometric
-(x²+7) $224 - Algebraic
4.
Functions
Alg.
Trig
Rast
Poly
Lin.
Ex. 5(x)=√F and restex2
+7
t
877 None of the above
→
Det: The composition of
functions of and
ふ
(fog)(x) = f(g(x))
The domain of fog is ull x
values in the domein of
such that ques
Jamain of gus is in the
Find (sor)(x); (ros) (x) and their donnains
2
√x²=\x\
D: (00, ∞0)
X
(√x)²=x
0: [0; α)




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