Respuesta :

citroen
to find the inverse of any function substitute x for y and vice versa
Y=2x-3------> x=2y-3

you take your new equation and solve for y
y=(x+3)/2

Inverse of the function will be [tex]y=\frac{1}{2}(x+3)[/tex].

   Given function in the question is, y = 2x - 3

We will follow the following steps to find the inverse of the given function.

Step - 1

Interchange 'y' and 'x' in the function,

x = 2y - 3

Step - 2

Isolate 'y' on ones side of the equation.

x = 2y - 3

x + 3 = 2y

[tex]\frac{1}{2}(x+3)=y[/tex]

    Therefore, inverse of the given function will be → [tex]y=\frac{1}{2}(x+3)[/tex]

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