One meaning of a 'linear' equation is that if you draw the graph
of the equation, the graph will be a straight line.

That's an easy way to test the equation . . . find 3 points on the
graph, and see whether they're all in a straight line.

This equation is y = 4 / x .

To find a point on the graph, just pick any number for 'x',
and figure out the value of 'y' that goes with it.
Do that 3 times, and you've got 3 points on the graph.

Here ... I'll do 3 quick points:

Point-A: x = 1 y = 4 / 1 = 4
Point-B: x = 2 y = 4 / 2 = 2
Point-C: x = 4 y = 4 / 4 = 1

Look at this:

Slope of the line from point-A to point-B
= (change in 'y') / (change in 'x') = -2 .

Slope of the line from point-B to point-C
= (change in 'y') / (change in 'x') = -1/2 .

The two pieces of line from A-B and from B-C don't even have
the same slope, so they're not pieces of the same straight line !
So my points A, B, and C are NOT in a straight line.

So the equation is NOT linear.

Try it again with three points of your own.

5 0

3 years ago

What is the inverse of cube root x/3 +1

Ostrovityanka [42]

Answer:

${f}^{ - 1} (x) = 3 {x}^{2} - 3$