Given the function f(x) = 2x, find the value of f−1(32).

Question

Given the function f(x) = 2x, find the value of f−1(32).

in progress 0
2022-05-24T05:33:49+00:00 2 Answers 0

Answers ( 2 )

  1. Lilybelle
    0
    2022-05-24T05:34:57+00:00

    Answer: [tex]f^{-1}(32)= 16.[/tex]

    Step-by-step explanation:

    The given function is f(x)=2x.

    Replace f(x) by y ,

    y=2x .To find the inverse we interchange x and y :

    x=2y.

    Solve for y:

    y=[tex]frac{x}{2}[/tex]

    Or [tex]f^{-1} (x)=frac{x}{2}[/tex]

    To find [tex]f^{-1} (32 )[/tex] replace x by 32

    [tex]f^{-1} (32)=frac{32}{2} =16[/tex]

  2. Ayla
    0
    2022-05-24T05:35:01+00:00

    step 1
    find the inverse
    exchange x for y and y for x
    y=2x
    then
    x=2y———> clear y
    y=x/2
    fu22121(x)=x/2

    for x=32
    fu22121(32)=32/2———-> 16

    the answer is 16

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