How is domain of the function f(x) = tan x restricted so that its inverse function exists?

Drag a value or interval into each box to correctly complete the statements.

The domain of f(x) = tan x is restricted to so that the inverse of the function exists.

This means that all functional values of f(x) = tan^(−1) x are on the interval .

(-π/2, π/2)

[-π/2, π/2]

(0,π)

[0,π]

(0,2π)

[0,2π]

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answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.