Given the functions f(x)=.25x²+2x+11 and g(x)=-.75x-4. What is the vertical distance between the two functions when x=4?

Please correct me if I'm being silly.

But I think you're asking for the difference in y value at x=4

So you can stick x=4 into your equations and then compare the results

So in your case the value you're looking for is

vert diff = 0.25*4^2 + 2*4 + 11 + 0.75*4 + 4

Which is just the first equation minus the second, and substituting 4 for x

Let me know if you need further clarification, or if i have interpreted wrongly.