TaberR216432 TaberR216432
  • 03-11-2022
  • Mathematics
contestada

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

Find F1x the inverse of Fx for 3 and 4 class=

Respuesta :

LucienX753382 LucienX753382
  • 03-11-2022

Solving for number 3:

Step 1. Define the function.

The original function we have is:

[tex]F(x)=x-10[/tex]

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

[tex]y=x-10[/tex]

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

[tex]x=y-10[/tex]

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

[tex]y=x+10[/tex]

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

[tex]F^{-1}(x)=x+10^{}[/tex]

Answer:

[tex]F^{-1}(x)=x+10[/tex]

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