2
practice testMultiple Choice

Practice Test

Question 2 • Mathematics III

If the function f of x is equal to m x plus b has an inverse function, which statement must be true?

Answer
A
m is equal to 0
B
m is not equal to 0
C
b is equal to 0
D
b is not equal to 0

Explanation

A function has an inverse function only if it is one-to-one. For f(x) = mx + b, if m = 0, then f(x) = b for every x, so different inputs give the same output. Therefore m must not equal 0; the value of b can be any number.

AI-written and checked against the verified answer.

Previous
Next