7. Given the function f(x)=x²-x_and_g(x)=x-1, determine an equation for the combined function g(x) A. y=x²+x,x#1 C. B. _y= x₁,x#1 y=x²-x,x#1 D. y=x²-x₁x1 ,X#1 8. If f(x) and g(x) are both functions that are defined for all XEIR then is_f(g(x))=g(f(x)) true for any functions of x? 2 A. Yes B. No C. Cannot be determined

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7.
Given the function f(x)=x²-x and g(x)=x-1, determine an equation for the combined
function y=
f(x)
g(x)
A.
y=x²+x,x#1
X
B. y= x₁,x#1
C.
y=x²-x,x #1
D.
X-X
y=
x-1
, X1
8. If f(x) and g(x) are both functions that are defined for all xEIR
then is f(g(x)) = g(f(x)) true for any functions of x?
>
A. Yes
B. No
C. Cannot be
determined
Transcribed Image Text:7. Given the function f(x)=x²-x and g(x)=x-1, determine an equation for the combined function y= f(x) g(x) A. y=x²+x,x#1 X B. y= x₁,x#1 C. y=x²-x,x #1 D. X-X y= x-1 , X1 8. If f(x) and g(x) are both functions that are defined for all xEIR then is f(g(x)) = g(f(x)) true for any functions of x? > A. Yes B. No C. Cannot be determined
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