If f(x)=xsquare -1 g(x)= x-2 find a if g(f(a))=1
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Question:
Find the absolute maximum value of
g
(
x
)
=
x
√
(
25
−
x
2
)
on
[
0
,
5
]
Absolute Maximum and minima of a function:
Derivatives have an important application here. For a function
f
(
x
)
, on the interval
[
a
,
b
]
,
absolute extrema is evaluated by checking the value of the function at the critical points within the interval and at endpoints of the interval i.e
f
(
a
)
and
f
(
b
)
. Critical points are found by using derivative of
f
(
x
)
. The largest of all the values is the absolute maximum and smallest of all is the absolute minimum of the function.
Answer and Explanation:
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