69.
C ( K ) = K − 273 ; C ( K ) = K − 273 ; it represents the Celsius temperature corresponding to a given Kelvin temperature.
27°C
295 K
71.
F ( K ( C ) ) = 9 5 C + 32 F ( K ( C ) ) = 9 5 C + 32
C ( K ( F ) ) = 5 9 F = 160 9 C ( K ( F ) ) = 5 9 F = 160 9
73.
Dollars to euros: f ( x ) = 0.75 x f ( x ) = 0.75 x (x is the number of dollars; f (x ) is the number of euros); euros to dollars: g ( x ) = 1.25 x g ( x ) = 1.25 x (x is the number of euros; g (x ) is the number of dollars)
She loses money.
75.
w = { 4 + 0.05 x , 7 , if x > 60 if x ≤ 60 w = { 4 + 0.05 x , if x > 60 7 , if x ≤ 60
It does not have an inverse because it is constant on (0, 60) and hence is not one-to-one.
Restriction of the domain: [ 60 , ∞ ) [ 60 , ∞ )
77.
x = 1 64 V 2 ; x = 1 64 V 2 ; it gives the height of the water in terms of the velocity.
14.0625 ft
6.25 ft
79.
The balance due after x months
f − 1 ( x ) = 60 − 1 600 x ; f − 1 ( x ) = 60 − 1 600 x ; it shows the number of months that have passed from the first payment until the balance due is $x
23.333 ≈ 24 months 23.333 ≈ 24 months
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