The local library charges 6 cents for each day a book is overdue plus a one-time record keeping fee of 19 cents. the function ta
ble below shows the relationship between the number of days a book was overdue and the total penalty in cents.
what would be the total penalty for a book that was 37 days overdue?
what would be the total penalty for a book that was 37 days overdue?
1 answer:
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Answer:
A)
B)
C)
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)