Question

The graph of y=1/x is shown below. Draw the graph of its inverse.

Answer 1

Answer:

The graph of the inverse of function would be same.

Step-by-step explanation:

We have been given graph of function $y=\frac{1}{x}$. We are asked to graph the inverse of our given function.

To find the inverse of a function, we will interchange the x and y variables and solve for y.

Upon interchanging variables, we will get:

$x=\frac{1}{y}$

Upon multiplying both sides of our equation by y, we will get:

$x*y=\frac{1}{y}*y$

$x*y=1$

Now, we will divide both sides of our equation by x as:

$\frac{x*y}{x}=\frac{1}{x}$

$y=\frac{1}{x}$

Since the inverse of our given function is same as function $y=\frac{1}{x}$, therefore, the graph of the inverse of function would be same.

Answer 2

Y=1/x  solve for x

x=1/y  now reverse lables...

y=1/x  

Yes that is the same equation you started with.  What that means is the the inverse function in this case produces the same exact graph :)