Numerical Analysis In Exercises 37-40, In this question, (a) determine the domains of f and g , (b) simplify f and find any vertical asymptotes of the graph of f , (c) complete the table, and (d) explain how the two functions differ. f ( x ) = x 2 ( x + 3 ) x 2 + 3 x , g ( x ) = x
Numerical Analysis In Exercises 37-40, In this question, (a) determine the domains of f and g , (b) simplify f and find any vertical asymptotes of the graph of f , (c) complete the table, and (d) explain how the two functions differ. f ( x ) = x 2 ( x + 3 ) x 2 + 3 x , g ( x ) = x
Solution Summary: The author explains that the function is defined for all real numbers except x=0andx =-3.
Numerical Analysis In Exercises 37-40, In this question, (a) determine the domains of
f
and
g
, (b) simplify
f
and find any vertical asymptotes of the graph of
f
, (c) complete the table, and (d) explain how the two functions differ.
Consider the graphs of f(x ) and g (x ). For each function resulting from the operation, decide whether the resulting function is even, odd, or neither even nor odd.
a)f(x )+ g(x)
b)f(x )- g(x)
c)f(x ) x g(x)
d) f(x) / g(x)
Use the graphs of y-f(x) and y-g(x).
a) Determine (g(-2)) and 8((-2)),
b) Determine (g(2)) and g(2)).
c)
Are the functions inverses of each other? Why?
10
f(x)
you
-
do d
O
4
-
Use the graph of f shown in the figure to sketch the graph of each function. (a) f(x − 4) (b) f(x + 2) (c) f(x) + 4 (d) f(x) − 1 (e) 2f(x) (f) 1/2 f(x) (g) f(−x) (h) −f(x)
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