You are calculating payroll. your company has 45 employees who work 40 hours a week and earn $17/hour 14 employees each worked 6
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The composite function works like this:
- Take a number
as input
- Evaluate h(x) = 3x. Let's call this output z.
- Evaluate g(x) = 1/(z+2)
So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose
Remember you need to write complete questions in order to find exact answers. In this way you haven't provided any function, so I'll choose a quadratic function given by:
So we need to find the entire interval at which this function positive. Put another way:
By using graphing tool, we get the graph shown below. As you can see:
- The function decreases from
- The function increases from
- The graph of the function is a parabola that opens up.
But what is really importan in this problem is that:
- The function is positive over the interval
At this interval the function is positive, that is,
Standard equation of the graph of a parabola:
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