Question

Use symmetry to graph the inverse of the function

Answer 1

your answer would be positive

Answer 2

The correct option is d.

Explanation:

Let a function is f(x) and its inverse is f⁻¹(x). If both functions drawn on a coordinate plate than the graph of f(x) and f⁻¹(x) are mirror image of each other across the line y=x.

In other word the line y=x is the axis of symmetry of the graph of function and its inverse.

We need to find the correct graph that represent the function and its inverse.

Draw a line y=x in each graph as shown below.

From the below graph it is clear that only graph d represent the function and its inverse because both the functions are mirror image of each other across the line y=x.

Therefore the correct option is d.