Answer:
x = 3
Step-by-step explanation:
It should NOT be "fight of the origin", rather "right of the origin".
Now let's move on to solve the question...
The x-intercept is found by setting the function equal to 0. Thus:
0 = x^3 - 9x
Let's solve this using algebra:
[tex]0=x^3-9x\\0=x(x^2-9)\\0=x(x-3)(x+3)[/tex]
Hence, x = -3 and x = 3
The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.
