Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
-f(x) = 4x
D) not a one-to-one function

Question

Quizplus · Accepted Answer

To check if the function is one-to-one, we need to check if each input (x-value) corresponds to a unique output (y-value). 
For f(x) = 4x, if we have two different x-values, say a and b, such that f(a) = f(b), then the function is not one-to-one. 
Let's check: 
If f(a) = f(b), then 4a = 4b. Dividing both sides by 4, we get a = b. 
This means that each input corresponds to a unique output, and therefore the function is one-to-one. 
To find the inverse function, we can use the formula: 
f^-1(x) = x/4 
Therefore, the inverse function is f^-1(x) = x/4.

Determine Whether the Given Function Is One-To-One