Respuesta :

Answer:  16) [tex]\bold{\sqrt{x}}[/tex]        (17) [tex]\bold{\dfrac{x-4}{2}}[/tex]        (18) [tex]\bold{\sqrt{x}-2}[/tex]       (19)  3x - 18

Step-by-step explanation:

Inverse is when you swap the x's and y's and then solve for y

16) Given: y = x²

Swapped: x = y²

                [tex]\bold{\sqrt{x} =y}[/tex]

17) Given:  y = 2x + 4

Swapped: x = 2y + 4

            x - 4 = 2y

            [tex]\bold{\dfrac{x-4}{2}=y}[/tex]

18) Given:  y = (x + 2)²

Swapped: x = (y + 2)²

               √x = y + 2

        [tex]\bold{\sqrt{x}-2=y}[/tex]

19) Given:  [tex]y=\dfrac{1}{3}x+6[/tex]

Swapped: [tex]x=\dfrac{1}{3}y+6[/tex]

            [tex]x - 6 = \dfrac{1}{3}y[/tex]

            3(x - 6) = y

            3x - 18 = y

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