Question

Hello, how do I find all values of x for which (fx) satisfies the indicated conditions?

Answer 1

Given the function

`f(x)=x^2-5x`

For f(x) < 0, we have:

`x^2-5x<0`

And solve for x by factor:

`x(x-5)<0`

Separate the solutions:

`\begin{gathered} x>0 \\ and \\ x-5<0 \\ x-5+5<0+5 \\ x<5 \end{gathered}`

The values for x in inequality form:

`0Or in interval notation:[tex](0,5)`

Answer:

values of x: 0 < x < 5