8
QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 8 • Mathematics III

If f of x is equal to 1 ninth x minus 2 , what is f inverse of x ?

Answer
A
f inverse of x is equal to 1 ninth x plus 2
B
f inverse of x is equal to 9 x plus 18
C
f inverse of x is equal to 9 x plus 2
D
f inverse of x is equal to negative 2 x plus 1 ninth

Explanation

Set y = x/9 − 2, then solve for x: y + 2 = x/9, so x = 9y + 18. Swap the variables to write the inverse: f⁻¹(x) = 9x + 18. Therefore, the correct choice is “f inverse of x is equal to 9x plus 18.”

AI-written and checked against the verified answer.

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