Question

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?

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