Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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2.
(3 marks)
Let f and g be the functions defined by f(x) =x² - 5 and g(x) = Vx- 5. Find
(a) (fog)(x)
(b) (fog)(- 5)
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Let f (x) = x / x - 1 and graph the function f (f (x)) in the window [ -15, 15] by [ -10, 10]. Trace to examine the coordinates of several points on the graph and then determine the formula for f (f (x)).
Answer all with full solutions and GRAPH
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- How do you find the domain for the composition of two functions, fg ?arrow_forwardUse the graph of y = f(x) to graph the function y = 1 Point on f(x) Point on f(1- -x) 2 1 2 ² (-4,-1) (-3,3) (0,0) (1,2) (2,-2) (Type ordered pairs.) 1 For each point for f(x), determine the corresponding point for y=f(1-x). f(1-x). C 10 y = f(x) Ay 10- M 10 X <^ HOarrow_forwardTutorial Exercise Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) f(x) = 3x4 - 36x3 + x – 4 Part 1 of 6 We use the ---Select--- Notice that the domain of f is (Enter your answer using interval notation.) First, find the first and second derivatives of f(x) = 3x – 36x3 + x – 4. f'(x) = f"(x) = Submit Skip (you cannot come back)arrow_forward
- Estimate of f′(3)arrow_forwardActivity 2: Let us try to find where a function is increasing or decreasing given the following.arrow_forwardWhich of the following functions are injective? surjective? bijective? (i) f : ℝ-ℝ where f(x) = x2. (ii) f : ℝ-ℝ where f(x) = 1/x (where x ≠ 0). (iii) f : ℝ-ℝ where f(x) = 3x + 1.arrow_forward
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