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QuizMultiple Choice

Comparing a Function and Its Inverse — Quiz

Question 1 • Precalculus

Consider the function. f of x is equal to 3 fourths x plus 12 What is the y -intercept of f inverse of x ?

Answer
A
negative 16
B
4 thirds
C
negative 12
D
negative 3 fourths

Explanation

To find the inverse, switch x and y in f(x) = (3/4)x + 12 and solve for y: x = (3/4)y + 12, so y = (4/3)x − 16. The y-intercept is the constant term, −16, so the answer is negative 16.

AI-written and checked against the verified answer.

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