Given: n(x) = x2-9
m(x) = x+3
p(x) = √x+1
Use the functions to find:
a. (n-m)(-6)
First we find (n-m)(x)
(n-m)(x) =
(n-m)(x) = n(x) - m(x) =
(n-m)(x) = (x2-9) - (x+3) =
(n-m)(x) = x2-9-x-3 =
(n-m)(x) = x2-x-12
Now substitute (-6) for x
(n-m)(-6) = (-6)2-(-6)-12
(n-m)(-6) = 36+6-12
(n-m)(-6) = 30
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b. (n•p)(0)
First we find (n•p)(x)
(n•p)(x) = n(x)•p(x)
(n•p)(x) = (x2-9)•(√x+1)
Now substitute 0 for x
(n•p)(0) = (02-9)•√0+1
(n•p)(0) = (0-9)•√1
(n•p)(0) = (-9)•1
(n•p)(0) = -9
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c. (0)
First we find (x)
(x) =
(x) =
Now substitute 0 for x
(0) =
(0) =
(0) =
Edwin