Select the correct answer.

which function has an inverse function?

The function that has an inverse function is:

            D.  

We know that " A inverse of a function f(x) exist if it is both 1-1 and onto "

A)

We know that the modulus function is not 1-1.

Since, there are two different 'x' such that the function have the same value.

Take x=1

and take x= 7

In both the cases we have: f(x)=4

Hence, the function does not has a inverse.

B)

We know that a  polynomial with even degree is not 1-1.

As it is symmetric about a line x=a

Hence, option: B is incorrect.

C)

Again it is a polynomial of even degree.

Hence, it does not has  a inverse.

D)

As the function is both 1-1 and onto.

Hence, the function has a inverse and the inverse function is calculated as:

Hence, the inverse function is:

              The answer is:

               Option: D

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b