7. Consider explain t 4. (4 points). For the function f(x) = -2x2 + x - 1, find the difference quotient in the form forth)-f(x) h (4 p Answer 5. (4 points) A 250-room hotel is 80% filled when the nightly room rate is $190. Experience has shown that each $10 increase in the rate results in 5 fewer occupied rooms. Find the nightly rate that will maximize the nightly revenue. Round to the nearest dollar. Work: Answer 6. Given f(x) = 3x, and g(x) = x2, determine each of the following, simplifying if possible, and rationalizing, if necessary. a. (4 points) Simplify f(g(x)), the composite function of f composed with g, and state the domain of the composite function. Answer b. (4 points) Find, simplify, and state the domain of fl(x) (the inverse of f(x))