How do I graph the inverse of this function y1x2 There is a

How do I graph the inverse of this function y=-1x+2?

There is a graph, and I found the equation: it\'s y=-1x+2.

And they drew one line for me. The 2 points they gave are P(-2,4) Q(3,-1), and I have to draw the inverse of this line.

I graphed the points at P(4,-2) and Q(-1,3), but its not an inverse :/

Solution

You have a function and you need to find its inverse. The inverse of the function f(x) is a function g(x) such that for any x, f[g(x)] = x.

Here we have y = -1*x +2 = -x +2.

Now express x in terms of y

y = -x + 2

=> y - 2 = -x

=> 2 - y = x

=> x = 2 - y

Now write y instead of x and x instead of y.

You get y = 2- x.

This is the inverse of the function.

To test: for x= 3, the original function gives y = -x+2 = -3+2 =-1

The inverse function gives y = 2 - x = 2 - (-1) = 3. You get back the x you started with.

Now you can use the equation y= 2-x to graph the inverse.