Question

What are the x-intercepts of this function? f(x)=-9x^2+3x1

Answer 1

`- 9 {x}^(2) + 3x = 0`

`3x( - 3x + 1) = 0`

`3 x = 0 \\ x = 0`

And

`- 3x + 1 = 0 \\ - 3x = - 1 \\ x = ( - 1)/( - 3) \\ x = (1)/(3)`

So the x-intercepts are :

`x = 0 \: \: \: \: \: and \: \: \: \: \: x = (1)/(3) \\`