Find the domain and range of the inverse. Express your answer in interval notation

Find the domain and range of the inverse. Express your answer in interval notation

To find the inverse:

x=2y-3

x+3=2y

(x+3)/2=y

so the inverse of x=2y-3 is y=(x+3)/2

since the graph for this is just a just a line some degrees above the horizontal, the domain and range would be

Domain: {x|xER}        Range: {y|yER}

x = 2|y|− 3

Range is all real y

Domain is x>=3

So for the inverse:

Domain is all real x     (-infinty, infinty)

Range is y>=3            [-3,infinity)

check by graphing

The green one is the original and the purple one is the inverse  (reflection across y=x which is the red one)