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.)
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ANALYZING RELATIONSHIPS Describe the x-values for which (a) f is increasing or decreasing, (b) f(x) > 0 and (c) f(x) <0.
y Af
-2
1
2 4x
a. The function is increasing when
and
decreasing when
By forming the augmented matrix corresponding to this system of equations and usingGaussian elimination, find the values of t and u that imply the system:(i) is inconsistent.(ii) has infinitely many solutions.(iii) has a unique solutiona=2 b=1
if a=2 and b=1
1) Calculate 49(B-1)2+7B−1AT+7ATB−1+(AT)2
2)Find a matrix C such that (B − 2C)-1=A
3) Find a non-diagonal matrix E ̸= B such that det(AB) = det(AE)
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