What is the inverse of the function f(x) =2x + 1

The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2

Solution

f(x)=2x+1

y=f(x)

y=2x+1

Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

(1/2)(y-1)=(1/2)2x

(1/2)y-1/2=x

x=(1/2)y-1/2

Changing "x" by "f^(-1) (x)" and "y" by "x":

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

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

-6 is the correct option from the above given options