Which of the following pairs of functions are inverses of each other?
1 answer:
Answer:
B. f(x) = 5(x/4) - 3 and g(x) = [4(x + 3)]/5
Step-by-step explanation:
In the figure attached, the question is shown (the order of the options are different).
To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:
f(x) = 5(x/4) - 3
x = 5(g(x)/4) - 3
Next, isolate g(x), as follows:
x + 3 = 5(g(x)/4)
4(x + 3) = 5g(x)
[4(x + 3)]/5 = g(x)
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Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5 6
Hence, 6 games needed to be rented each month.