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Diego plays center forward on his soccer team. On average, he scores 1.25 goals per match. The tally of his total goals for the season is given by function f(x) = 1.25(38 − x), where x is the number of matches he plays. What is the inverse of the given function?

Verified Answer :

f(x) = 1.25(38 - x)

Finding the inverse of a function:
y = f(x)

y = 1.25(38 - x)

Solve for x:
y = 1.25(38 - x)
y/1.25 = 38-x
x = 38 - y/1.25

Switch x and y.

y = 38 - x/1.25

f^-1(x) = 38 - x/1.25

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