To find: The inverse of the function
The inverse of given function is .
The function is,
Rewrite the function as (1)
The above equation is defining y as a function of x.
Square equation (1) and simplify as follows,
Isolate x on one side of the equation.
Interchange the variables x and y in above equation.
Thus, the inverse of given function is .
To sketch: The graph of and its inverse on same coordinate axes.
Use transformation and first sketch the graph of
Sketch graph of and take its reflection about y-axis and then move it right on horizontal axis by 3 units.
To sketch the graph of take reflection of graph of and reflect it in the line .
Sketch graph of and as shown below.
From the above Figure, it can be observed that is a reflection in .
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