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Let f (x) = 4x^2 + 2x – 8 and g(x) = 1 – 2x. (a) Evaluate the function g – f for x = –3. That is, find (g – f)(–3).    (b) Evaluate the function fg for x = –3. That...

Each time you fill up a drink from the soda fountain, it uses \$.05 worth of product. If you charge \$1.99 for a fountain drink and have free refills, what is your percentage profit on a customer that...

Solve the following rational equations; be sure to check for extraneous solutions (solve all please):   A) (2x/x-3) + (3/x-2) = (6/x^2 -5x+6)   B) (3/x-2) = (x+2...

A small publishing company is planning to publish 2 books this month:  book A and book B. The publishing cost is \$6 each for books and \$8 each for book B. The total cost can be no more than \$7200...

I'm doing a problem with functions and it's asking me to find f(a+7) and simplify. The original problem is f(x)=x+5/(x-8)^2...I plugged in f(a+7) and came up with this f(a+7)=(a+7)+5/((a+7)-8)^2...

6.  Luke wants to purchase custom-made mugs to advertise his business. Two companies offer different deals: Company A: Pay a design fee of \$50.00, plus \$4.50 per mug or Company B: Pay...

The number of guests g in a water park t hours after 9 am is given by g(t) = –32t2 + 224t + 263 for 0 ≤ t ≤ 8. (t = 0 corresponds to 9 am) Find and interpret the average rate...