Question

Find F-1(x), the inverse of F(x), for 3 and 4

Answer 1

Solving for number 3:

Step 1. Define the function.

The original function we have is:

Step 2. To find the inverse function, the first thing we need to do is to change F(x) for y:

Step 3. Now, we are going to interchange the letters x and y (swap x and y):

Step 4. Finally, the last step is to solve for y:

Change y for F-1(x), and the inverse function is:

Answer:

Explanation:

Answer 2

Solving for number 3:

Step 1. Define the function.

The original function we have is:

`F(x)=x-10`

Step 2. To find the inverse function, the first thing we need to do is to change F(x) for y:

`y=x-10`

Step 3. Now, we are going to interchange the letters x and y (swap x and y):

`x=y-10`

Step 4. Finally, the last step is to solve for y:

`y=x+10`

change y for F-1(x), and the inverse function is:

`F^(-1)(x)=x+10^{}`

Answer:

`F^(-1)(x)=x+10`