'1. [41 Points] DETAILS TANAPCALC10 2.2.002.M|. Let x) = x3 + 3 and 90:) = x2 6. Find the rule for the function. rg Need Help? 2. [41 Points] DETAILS TANAPCALUO 2.2.012. Let x) = x - 2 and g(x) = \\/x + 2. Find the rule for the function. 91' Z Need Help? 3. [-/1 Points] DETAILS TANAPCALC10 2.2.026.MI. Find the rules for the composite functions fog and go f. f(x) = 2x2 + 3x + 6; g(x) = x+ 9 fog = g of = Need Help? Read It Master It 4. [-/1 Points] DETAILS TANAPCALC10 2.2.030. Find the rules for the composite functions fog and go f. f( x) = Vx + 8; 9(x) = X - 8 fog = g of = Need Help? Read It Watch It5. [-/1 Points] DETAILS TANAPCALC10 2.2.034.EP. MY NOTES PRACT Consider the following functions. (( x ) = = :9(x) = x2 +2 Complete the following statement, given that h = (go f). h ( 3 ) = 2 v ? (3)) = ?v Need Help? Read it 6. [-/1 Points] DETAILS TANAPCALC10 2.2.040. MY NOTES PRACTI Find functions fand g such that h = go f. (Note: The answer is not unique. Enter your answers as a comma-separated list of functions. Use non-identity functions for f and g.) h(x) = Vx2 - 81 ig(x), ((x)) = Need Help? Read It Watch It7. [-/1 Points] DETAILS TANAPCALC10 2.2.048.MI. Find and simplify f(a + h) - f(a) (h = 0) h for the following function. f(x) = 6x2 - 4x + 3 Need Help? Read It Watch It Master It 8. [-/1 Points] DETAILS TANAPCALC10 2.2.052. Find and simplify the following for the function. (Assume h # 0.) f( x ) = 3Vx f(a + h) - f(a) = h Need Help? Read It Watch It9. [-/1 Points] DETAILS TANAPCALC10 2.2.059. MY NOTES PRACTICE ANOTHER Cost of Producing DVDS TMI, a manufacturer of blank DVDs, has a monthly fixed cost of $14,900 and a variable cost of $0.80/disc. Find a function C that gives the total cost incurred by TMI in the manufacture of x discs/month. c(x) = Recycle Need Help? Read It Watch It10. [-/1 Points] DETAILS TANAPCALC10 2.2.065.MI. MY NOTES PRACTICE ANOTHER Profit from Sale of Pagers A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $24,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). V(x) = 0.000001x3- 0.01x2 + 50x The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). R(x) = -0.02x7+ 150x; (0 5 x 5 7,500) (a) Find the total cost function C. C(x) = (b) Find the total profit function P. P(x) = (c) What is the profit for the company (in dollars) if 2,700 units are produced and sold each week? $ Need Help? Read It Master It