# How do you sketch the graph of #f(x)=arctan(2x-3)#?

##### 1 Answer

See graph and details.

#### Explanation:

Inversely,

So, one period is

See graph that is restricted to one period:

graph{(y - arctan(2x-3))(y^2-1/4(pi)^2)=0}

For the piecewise-wholesome inverse

the graph is immediate, using the inverse of the given equation

See graph.

graph{x-1/2(3 + tany)=0[-20 20 -10 10]}

It is a wrong practice to swap ( x, y ) to ( y, x ) and call

the inverse of the given equation, and rotate the graph for the

given equation, for

In te chosen piece, the graphs of both the given equation and its

wholesome inverse ought to be the same. ..