Which function has an inverse function? a. f(x)= |x+3|/5 b. f(x)= x^5-3 c. f(x)= x^4/7+27 d. f(x)= 1/x²

Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, and , that have the same output value y

Note that the function  is not a one-to-one function

When x=2  

When x=8  

Note that the function  is not a one-to-one function

When x=1

When x=-1  

Note that the function  is not a one-to-one function

When x=1

When x=-1  

Then the answer is the option B.

You can verify that The function is a one-to-one function and therefore its inverse is a function