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

Answer:

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

                   D)    Solve for y

Step-by-step 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:

    $f(x)=x+\dfrac{3}{2}$

Then we find the inverse as follows:

• Put   $f(x)=y$

i.e.

$y=x+\dfrac{3}{2}$

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

$x=y+\dfrac{3}{2}$

• Lastly we solve for y as follows:

We subtract both side by 3/2 to get:

$y=x-\dfrac{3}{2}$

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

              $g(x)=x-\dfrac{3}{2}$

Answer 2

Answer:

Solve for y!

Step-by-step explanation: