The regular price of a pair of jeans is x dollars. Let f ( x ) = x − 5 and g ( x ) = 0.6 x . a . Describe what functions f and g model in terms of the price of the jeans. b . Find ( f ∘ g ) ( x ) and describe what this models in terms of the prize of the jeans. c . Repeat part ( b ) for ( g ∘ f ) ( x ) . d . Which composite function models the greater discount on the jeans f ∘ g or g ∘ f ? Explain.
The regular price of a pair of jeans is x dollars. Let f ( x ) = x − 5 and g ( x ) = 0.6 x . a . Describe what functions f and g model in terms of the price of the jeans. b . Find ( f ∘ g ) ( x ) and describe what this models in terms of the prize of the jeans. c . Repeat part ( b ) for ( g ∘ f ) ( x ) . d . Which composite function models the greater discount on the jeans f ∘ g or g ∘ f ? Explain.
Solution Summary: The author explains how to calculate the value of (fcirc g)
Can you help explain what I did based on partial fractions decomposition?
Suppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t)
in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to
t = 3.
d(t)
ds
= ["v (s) da = {
The displacement up to t = 3 is
d(3)-
meters.
Let f (x) = x², a 3, and b
=
=
4.
Answer exactly.
a. Find the average value fave of f between a and b.
fave
b. Find a point c where f (c) = fave. Enter only one of the possible values for c.
c=
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