Arrange the equations in the correct sequence to find the inverse of f(x)=y=3x/8+x?

NetherCraft 0

X(8+y)=3y

Y=f^-1(x)=(3-x)/8x

8x=3y-xy

8x=y(3-x)

8x=y(x-3)

X=3y/8+y

Y=f^-1(x)=8x/3-x

8x+xy=3y

1 Answer

  •  

    You MUST use parentheses around denominator 8+x, or ANY denominator that consist of more than a single number of variable.

    Also, don’t use lower case and upper case interchangeably.

    In algebra, x and X are different, as are y and Y.

    f(x) = y = 3x/(8+x)

    Switch x and y, solve for y:

    x = 3y/(8+y)

    x(8+y) = 3y

    8x+xy = 3y

    8x = 3y−xy

    8x = y(3−x)

    y = f⁻¹(x) = 8x/(3−x)

Also Check This  How did Jane know that animals talk if Tarzan never told her?

Leave a Reply

Your email address will not be published. Required fields are marked *