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10 September, 07:40

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

" O n (x) = 1/2 x - -

O nue) = 2x + 1

o mweşx-2

o nicm) = {x + 2

+2
Answers (1)
  1. 10 September, 11:08
    0
    F (X) = 2x + 1

    Replace f (x) with y:

    Y = 2x + 1

    Switch variables:

    X = 2y + 1

    Solve for Y:

    Subtract 1 from both sides:

    X - 1 = 2y

    Divide both sides by 2:

    X-1 / 2 = y

    Rewrite so y is in the left side:

    Y = x-1 / 2

    Replace y with f^-1 (x):

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

    This can also be written as x/2 - 1/2
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