Answer:
Step 1
Substitute f of x with y.
f of x equals x squared. y equals x squared.
Step 2
Switch the x and y variables.
y equals x squared. x equals y squared.
Step 3
Solve for y.
x equals y squared. Square root x equals square root y squared. Don’t forget, when taking the square root of a number or variable, both positive and negative values must be taken into consideration. Plus and minus square root x equals y.
Step 4
Replace y with f inverse x.
Plus and minus square root x equals y. Plus and minus square root x equals f inverse x.
Step 5
Graph the inverse.
A graph of y equals plus and minus square root x. It is a left opening parabola with vertex at point 0 comma 0. If a vertical line were dragged across the graph, that line would cross the graph of y equals plus and minus square root x in more than one place. Therefore, the equation is not a function.
