Question

when finding the inverse of a relationship , 1st you replace f(x) why y 2nd switch the x's and y's what do you do next.?A) Find the greatest common factor B) Solve for x C) Replace y with f'-^x(x) D) Solve for y

Answer 1

Solve for y!

Explanation:

Answer 2

The correct step that we need to do next in order to find the inverse of a function is:

D) Solve for y

Explanation:

If we are given a function f(x) and we are asked to find it's inverse then first we put the function f(x)=y

Then we switch the places of x and y and finally we solve for y to find the required inverse function.

For example if we are given a function f(x) by:

`f(x)=x+(3)/(2)`

Then we find the inverse as follows:

• Put
  `f(x)=y`

i.e.

`y=x+(3)/(2)`

• Next we switch the x and y value i.e.

`x=y+(3)/(2)`

• Lastly we solve for y as follows:

We subtract both side by 3/2 to get:

`y=x-(3)/(2)`

Hence, the inverse of function f(x) is:

`g(x)=x-(3)/(2)`