4) if f(x) = 2-x. g(x) = {² Find: f(g(0)). 9(f(0)), :-2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve question 4 please
1) Find the domain:
A)f(x)=√x
2) Find the range:
A) y 1-2x-x²
5) Find the following limits:
A) lim (¹)(**) (*)
√2X (x-1)
x-1
C) lim
B) g(x)=
X--XX
3) Graph the following functions. Specify the interval over which the function is increasing, decreasing,
or constant. Determine whether the function is even, odd, or neither.
A)y=-x³
B)y=-=-
D)y=-4√√x
E)y=x+1
:-2<x<0
4) if f(x) = 2-x, g(x) = {x-1; 05x52
Find: f(g(0)). g(f(0)). g(g(-1)), (fogof)(1)
-1
G)(x+1)
4-3x³
x-+-∞ √x +9
1) lim
B)y=
C) h(x)=x+3
B) lim
D) lim
4-√²-9
H) lim
XII
VA²+12+5=√5
h
sin(3y)cot (5y)
y-0 y cut (43)
F) lim 7x²
2-00x²³-32²46x
D) n(x) = log₂ (2x + 1)
C)y=1-(0.1)
C)y=√√√=x
F)y=In(1-x)
6) Answer the following:
A] Find the horizontal and the vertical asymptote(s) of the function f(x)=
B) does the function f(x) = have a horizontal asymptote line? Why?
x²+x-1
Transcribed Image Text:1) Find the domain: A)f(x)=√x 2) Find the range: A) y 1-2x-x² 5) Find the following limits: A) lim (¹)(**) (*) √2X (x-1) x-1 C) lim B) g(x)= X--XX 3) Graph the following functions. Specify the interval over which the function is increasing, decreasing, or constant. Determine whether the function is even, odd, or neither. A)y=-x³ B)y=-=- D)y=-4√√x E)y=x+1 :-2<x<0 4) if f(x) = 2-x, g(x) = {x-1; 05x52 Find: f(g(0)). g(f(0)). g(g(-1)), (fogof)(1) -1 G)(x+1) 4-3x³ x-+-∞ √x +9 1) lim B)y= C) h(x)=x+3 B) lim D) lim 4-√²-9 H) lim XII VA²+12+5=√5 h sin(3y)cot (5y) y-0 y cut (43) F) lim 7x² 2-00x²³-32²46x D) n(x) = log₂ (2x + 1) C)y=1-(0.1) C)y=√√√=x F)y=In(1-x) 6) Answer the following: A] Find the horizontal and the vertical asymptote(s) of the function f(x)= B) does the function f(x) = have a horizontal asymptote line? Why? x²+x-1
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