shellyboatright shellyboatright
  • 17-03-2021
  • Mathematics
contestada

Find the inverse of the one to one function: f(x)=4x+10

Respuesta :

cheriimilktea
cheriimilktea cheriimilktea
  • 17-03-2021

Answer:

f^-1(x)=x/4-5/2

That is f to the negative one of x equals x over 4 minus 5 over 2.

Step-by-step explanation:

First replace f(x) with y

Replace every x with a y and replace every y with an x

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )  

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

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