The function f(x) = 3/4(10)–x is reflected across the x-axis to create the function g(x). which ordered pair is on g(x)?

The easiest way to answer any question like this is to first put your equation in the simplest form 'y = mx + b' So in this case, f(x) = 3/4(10) - x simplifies to f(x) = 7.5 -x which reordered becomes f(x) = -x + 7.5 So if you imagine this on a graph, you'll have a point on the y axis at 7.5. Then there is a line from there at a slope of -1. So you'll have a point at (0,7.5), (1, 6.5) ... (7.5,0). Now flipping this over the x axis is easy enough. Your first point intercepting the y axis is at -7.5. Then you'll have a line going up at a slope of +1. So your new equation will simply be g(x) = x-7.5. Now simply plug any coordinate in for g(x) and x to see if the equation is true. For example, let's try (1,-6.5). So -6.5 = 1-7.5. ---> -6.5 = -6.5. So (1, -6.5) is a point on g(x)!