32 Given f(x) = 1x and g(x) = find the following expressions. x2 + 8 (a) (fog)(4) (b) (gof)(2) (c) (f of)(1) (d) (gog)(0) (a) (fog)(4) = (Type an integer or a simplified fraction.) (b) (gof)(2) = (Type an integer or a simplified fraction.) (c) (f of)(1) = (Type an integer or a simplified fraction.) (d) (gog)(0) = (Type an integer or a simplified fraction.)
2 7 For the function f(x)=x', find f''(x), f''(O), and f''(1). f'(x) = Select the correct choice below and fill in any answer boxes in your choice. O A. f''(0) = (Type an integer or a simplified fraction.) OB. f''(0) is undefined. Select the correct choice below and fill in any answer boxes in your choice. O A. f''(1) = (Type an integer or a simplified fraction.) OB. f''(1) is undefined.
8 Ay 10- Compute the following estimate of f(x) dx using 0 8- y = f(x) the graph in the figure. T(4) 6 4 2- 6 00 N 10 Using the Trapezoidal Rule, T(4)= (Type an integer or a simplified fraction.)
Homework: Homework (Section 2.5) Score: 0 of 1 pt 9 of 9 (8 complete) 2.5.30-PS Developers from two towns, A and B, want to connect their towns to a highway. To minimize the cost of construction, the developers must find the location for the highway entrance that minimizes the total distance, d1 d2, from the two towns to the highway. Let x be as shown. Find both the value of x that solves the developers' problem and the minimum total...
20 Given f(x)= |x) and g(x)- , find the following expressions. (a) (f og)(4) (b) (g of)(2) (c) (of) (d) (g o g)(0) (a) (f o g)( 4(Type an integer or a simplified fraction.)
f(x)-3 If lim – - = 2, find lim f(x). X-5 X-3 X- 5 lim f(x) = X-5 (Type an integer or a simplified fraction.)
This Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (a) Find f(-14) and f(-6). (-6,6) 8 (12.4) 4 (-12.0) (TO) f(-14) = f(-6)= A (0-2) (8,0) 1-14.-4) (b) is f(4) positive or negative? -8 is Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (-6,6) 8 (12.4) 4 (c) Is f(-4)...
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D (f[9(x)]) at x = 3 is (Type an integer or a simplified fraction.) Consider the following table of values of the functions fand g and their derivatives at various points. a. Find D. (f(g(x)]) at x = 3. b. Find D (g[f(x)]) at x = 2. X 1 2 3 4 f(x) 3 1 f'(x) 1 -6 g(x) 2 3 1 4 g'(x) 3/8 1/ 8 7 /8 5/8 D. ([f(x)]) at x = 2 is (Type an...
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) = x – 6; g(x) = 6x? What is the domain of -? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x|}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain is {x| x is any...
Te: This Question: 1 pt 1 of 32 (0 com All Che Let f(x)=x? - 20 and g(x)= 19-x. Perform the composition or operation indicated. ht (0)1 (9)40=0 = 1 (Simplify your answer. Type an integer or a fraction.) 2 es