Consider the functions defined by f ( x ) = 6 x − 2 , g ( x ) = − x 2 − 4 x + 1 , h ( x ) = 7 , and k ( x ) = | x − 2 | . For Exercises 21-52, find the following. (See Examples 3-4 .) g ( a )
Consider the functions defined by f ( x ) = 6 x − 2 , g ( x ) = − x 2 − 4 x + 1 , h ( x ) = 7 , and k ( x ) = | x − 2 | . For Exercises 21-52, find the following. (See Examples 3-4 .) g ( a )
Solution Summary: The author explains the formula used to calculate the value of g(a).
Consider the functions defined by
f
(
x
)
=
6
x
−
2
, g
(
x
)
=
−
x
2
−
4
x
+
1
,
h
(
x
)
=
7
,
and
k
(
x
)
=
|
x
−
2
|
. For Exercises 21-52, find the following. (See Examples 3-4.)
Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8." How can we express these functions algebraically?
f(x)
=
g(x)
=
(f ∘ g)(x)
=
(g ∘ f)(x)
=
Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4." How can we express these functions algebraically?
f(x)=
g(x)=
(f ∘ g)(x)=
(f ∘ g)(x)=
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