Find
f ∘ g,
g ∘ f,
and
g ∘ g.
f(x) = 4x, g(x) = x4
(a)
f ∘ g
(b)
g ∘ f
(c)
g ∘ g
Divide and check your answer. x4 - 4x3 4x - x +4 X-4 x4 - 4x – X+4 X-4 = (Simplify your answer.)
For the given functions f and g, find the requested composite function. f(x)=x² +8, g(x) = x² +4; Find (fog)(x). O A. x4 +68 O B. x4 + 16x² +68 O c. x4 + 24 O D. x4 + 8x² + 24
to 1 x4 + 4x + c 1,10 + 4x +C 10 1 x4 + 4 +C 1 x 0 + c Monachi
4x (x4 12 for x 1 Use the power series for (1 + x*)-1 and differentiation to find the power expansion for f(x) = n 1
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
For f(x)- 5x 6 and g(x)- 4x-5 find the following c. (fo g) 2) a. (fo g)(x) b. (g o f)(x) a. What is (f o g)(x)? (fo g)(x)(Simplify your answer.) b. What is (g of)(x)? g(Simplify your answer) c. What is (fo g)(2)? (fo g)(2)(Simplify your answer.)
1. Let h(x) = x4 - 6x3 + 12x2. a. Find h'(x) and h"(x). 2. If f(x) = 6 ln(x), for x > 0, then: a. Find f '(x). b. Find f "(x). 3. Which function below has derivative F'(x) = 30x4 ? Hint: Differentiate each of the choices until you find a result that matches this F '(x). (A) F(x) = 120x3 (B) F(x) = 6x5 (C) F(x) = 120x5 (D) F(x) = 6x3 4. Let g(x) = x4 - 2x3 + 3/ x3 Find g'(x), given...
SM 12. Let f be defined for all (x, y) by f(x, y) = x4 + 2y2 – 4x²y + 4y. (a) Find f (x, y) and f (x, y). (b) Find all pairs (x, y) which solve both equations f(x, y) = 0 and f(x, y) = 0.
For the given functions f and g, find the requested composite function value. f(x) = 4x+8, g(x) = -2/x; Find (g of)(3). 16 A. 3 B. 40 3 58 Oc. 3 OD 1 10
Differentiate f(x) = 24 – 4.x +3 3+1 (1) f'(x) = [(x4–4x+3)/(277)]-(Vx+1)(42.3 – 4) (V<+1) z(1+1) [E{7)/(E+11–22)=(1-21)(1+34) = (x),f (1) z(I+) EN/1)-(t-rat) = (x), (£) (1-x)g = (2x),f ()