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?

Question

Mathematics

Jakob Hayden

Today, 04:30

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?

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Answers (1)

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Oswaldo Odonnell · Answer 1

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