What’s the inverse of the function F(x)=2x+1

Question

What’s the inverse of the function F(x)=2x+1

in progress 0
Natalia 11 hours 2021-11-26T03:34:52+00:00 2 Answers 0

Answers ( )

    0
    2021-11-26T03:35:58+00:00

    Answer:

    Step-by-step explanation:

    1.  Replace F(x) with y.

    2.  Interchange x and y in  y = 2x + 1:  x = 2y + 1

    3.  Solve this result for y:  2y = x – 1, or y = (x – 1)/2

    4.  Replace y with:

       -1

    F     (x):

       -1             x – 1

    F     (x) = ———–

                         2

    0
    2021-11-26T03:36:39+00:00

    Answer:

    f-1(x) = (x – 1)/2.

    Step-by-step explanation:

    Let f(x) = y

    y = 2x + 1

    2x = y – 1

    x = (y – 1)/2

    Now replace x by the inverse of f(x) ( that is f-1(x) ) and y by x:

    f-1(x) = (x – 1)/2.

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )