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Given the following table of values, compute f(g(4)). x f(x) 13 g(x) 3 | 4 |...
Given the following table of values, compute (gof)(1). x f(x) g(x) 4 13 2 3 12 1 3 1 4 2 6 Do not include "(gºf)(1) =" in your answer.
3. The values of f, g, f and g' are given as follows. 2102 f(x33/22 g(z2/3 1/4-13-1 (a) Let P( (). Find the values of P-2), P(-1), P(0), P(1) and P(2) (b) Let Q(x) = /(x)/g(x). Find the values of Q'(-2), Q'(-1), d"(0), (2(1) and Q'(2).
3. The values of f, g, f and g' are given as follows. 2102 f(x33/22 g(z2/3 1/4-13-1 (a) Let P( (). Find the values of P-2), P(-1), P(0), P(1) and P(2) (b) Let Q(x)...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
QUESTION 9 Use the values given in the table for differentiable functions f and g to answer the following questions. 3 f(x) f'(x) g(x) g'(x) 1 3 2 3 -3 2 5 3 1 -2 3 10 4 0 -1 (a) If B(x) = f(x) · g(x), find B'(3). (b) If M(x) = f(g(x)), find M'(1). (c) If P(x) = f(x3), find P(1).
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13
6. The table shows some values of an exponential function, f. and a linear function, g. Find the equation for f(x) and g(x) and use the functions to complete the table. fx) g(x) 0 0.36 ? 2 0.216 8.2 3 ? ? 0.07776 5 13 8. Allowance Riddle Suppose a child is offered two choices to earn an increasing weekly allowance: the first option he can choose begins at 1 cent and doubles each week, while the second option begins...
4. Transform the graph of f(2)=3into g(x) = 3 - 2 Show a table of values and a graph (neatly sketched by hand) for each step of the transformation starting from f (x). (15 marks)
3. For the function f(x) --2x, do the following: (a) Complete a table of values containing at least five points. (b) Sketch the function on the coordinate plane. (c) Describe the function's end behavior. Answer 2 0 2 f(x) f(x) 36 28 20 12 0 -2-4 12 20 (c) End behavior:
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl)
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...
Table I contains outputs of the function f(x) = b for some z values, and Table Il contains outputs of the function g(x) = log: (z) for some z values. In both functions, b is the same positive constant Fill in the missing values in the tables. If necessary, round your answer to three decimal places. You do not need a calculator Table 1 0.683 1.431 1.544 f(z) = 3 10 12 Table 11 3 5 s(2) = log:(z) 0.683...