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QuizMultiple Choice

Function Inverses — Quiz

Question 1 • Mathematics III

Which function is the inverse of f of x is equal to 2 x plus 3 ?

Answer
A
f inverse of x is equal to 1 half x minus 3 halves
B
f inverse of x is equal to negative 1 half x minus 3 halves
C
f inverse of x is equal to 2 x plus 3
D
f inverse of x is equal to negative 2 x plus 3

Explanation

Write y = 2x + 3, then swap x and y to get x = 2y + 3. Solving for y gives y = (x − 3)/2 = 1/2 x − 3/2, so the inverse is choice B.

AI-written and checked against the verified answer.

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