Answer on attached file.
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For the function f(x)=
rac{\sqrt{x} }{5} +2" alt="\frac{\sqrt{x} }{5} +2" align="absmiddle" class="latex-formula">
A. ƒ –1(x) = 25(x – 2)2, x ≥ 2
B. ƒ –1(x) = 25x2 – 2, x ≥ 0
C. ƒ –1(x) = 5(x – 2)2, x ≥ 0
D. ƒ –1(x) = 25(x – 2)2, x ≥ 0
A. ƒ –1(x) = 25(x – 2)2, x ≥ 2
B. ƒ –1(x) = 25x2 – 2, x ≥ 0
C. ƒ –1(x) = 5(x – 2)2, x ≥ 0
D. ƒ –1(x) = 25(x – 2)2, x ≥ 0
1 answer:
Answer:
Step-by-step explanation:
The inverse function can be found by solving ...
f(y) = x
(√y)/5 +2 = x
(√y)/5 = x -2 . . . . . subtract 2
√y = 5(x -2) . . . . . . multiply by 5
y = 25(x -2)² . . . . . square both sides
The inverse function is ...
_____
<em>About the graph</em>
The inverse of a function is its mirror image across the line y = x.
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Answer:
a) C(d) = 37.95 + 0.62d
b) C(74) = 37.95 + 0.62(74)
83.8 dollars
c) 8181 miles
Step-by-step explanation:
The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.
So if one person travels one mile they will pay:
37.95 + 0.62
Two miles: 37.95 + 0.62 (2)
Three miles: 37.95 + 0.62 (3)
d miles: 37.95 + 0.62(d)
Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d
Now, if we drive 74 miles, the function that gives us the cost would be:
C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars
Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:
Thus, we could drive 8181 miles