Let F(x) = f(x®) and G(x) = (f(x))8 . You also know that a? = 13,...
(1 point) Let F(x) = f(x) and G(x) = (f(x))8 . You also know that a' = 2,f(a) = 2,f'(a) = 9,f'(a8) = 4. Find F'(a) = and G'(a)
Let F(x) = f(f(x)) and G(x) = (F(x))2 You also know that f(6) = 10, f(10) = 3, f'(10) = 4, f'(6) = 10 Find F'(6) and G'(6) =
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
2. True or false? f(g(x) (f g)(x) Explain (just enough for me to know that you know why it's true or false) a ies 3. Let f(x)and g(x) (a) The domain of f(x) is vx-1. (b) The domain of g(x) is: (e) f(g(x)) (d) The domain of f(g(x)) is: (e) f(g(10))-
Question 1 8 pts f(x) g'(x) 12 (11 10 13 If H(x) = f(g(x)), what is H'(10)? None of the choices 169 13 12 132
Let f(x)=7x-8/3 and g(x)=3x+8/7. Find (f o g)(x) and (g o f)(x).
#10. Define f: R ® R defined by f(x) = 4x2. Let A = [0, 4] and B = [-3, 0]. #10(a) Find the sets f(A), f(B), f(A) Ç f(B), and f(A Ç B). Is f(A Ç B) = f(A) Ç f(B)? #10(b) Find the sets which are inverse images: f -1(A), f -1 (B), f -1 (A) Ç f -1 (B), and f -1 (A Ç B). Is f -1 (A Ç B) = f -1 (A) Ç f...
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...
4) Let f(x) = a) fog and its domain x -4 and g(x) = 13. Find each of the following: b) gof and its domain
please help! Question 8 < B0/1 pt 53 99 0 Details Let f(x) = 3x + 3 and g(x) = 4x2 + 2x. After simplifying, (fog)(x) Question Help: D Video Submit Question Question 12 < > 50/1 pt 53 99 0 Details In 1994, the moose population in a park was measured to be 4270. By 1999, the population was measured again to be 4620. If the population continues to change linearly: A.) Find a formula for the moose population,...