Question

Select the function that has a well-defined inverse.

A) f:→f(x)=⌈x/2⌉
B) f:→f(x)=2x−5
C) f:→ f(x)=|x|
D) f:→f(x)=x 4

Answer 1

The function that has a well-defined inverse is f(x) = 2x - 5.

Step-by-step explanation:

The function f(x) that has a well-defined inverse is B) f:→f(x)=2x−5.

To determine if a function has a well-defined inverse, we need to check if the function is one-to-one or injective. In other words, we need to make sure that for every value of x, there is a unique value of y and vice versa.

In this case, the function f(x) = 2x - 5 is a linear function, and every value of x corresponds to a unique value of y. Therefore, it is one-to-one and has a well-defined inverse.