Solution of the problem is
FIND THE SOLUTION TO THE FOLLOWING INEQUALITY X + 4 = x2 + 2 = 2X...
4. The solution of the inequality x2 – 4 < 0 is (a) –2 < x or x > 2 (b) –2 < x < 2 (C) x>-2 (d) x < 2 (e) None of the above 5. The domain of the function f(x) = V2is (a) (-2,2) (b) (-0, -2) U (2,00) (c) (-0, -2] U (2,0) (d) (-20, -2] U (2,00) (e) None of the above 6. The range of the function f(x) = 2 sin(x) is (a)...
Find the range of the function f(x) = x2 A) (0,0) B)[0,00) C)(1,0) D)(-1,00) E)-, -1] U [0,0] F)RUR G)(1,0) H) (1,-1] Select one: a. F b. C C. B d. H e. D f. E g. A h. G
2 Consider x2 if x <0 f (x) = 2x+ 1 if 0x < 2 (a) Determine whether f is continuous on the interval [0, 1]. (b) Determine whether f is right continuous on the interval [0, 1]. (c) Determine whether f is continuous on the interval [1,2].
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
using the general power rule Question 1 let y = (x2 +x)3 Find y' 2x+1 3(x2+x)2 3(x2+x)2 (2x+1) • (x2+x)2 (2x+1) recall general power rule formula has three parts: [u(x)" ]' = n u(x)" 1 u'(x) Question 2 let y = (x3 +x2) 1/3 Find y' (x3 +x2) 1/3 (1/3) (x3 +x2) 1/3 . (1/3)(x3 +x2)-2/3 (1/3)(x3 +x2-2/3 (3x2+2x) recall general power rule has three parts. [u(x)"l' = n u(x)n-1 u'(x) Question 5 let g(x) = 1/(x3+x2)3 find g'(x) (x²+x23...
Let f(x) = x2 + 1 and g(x) = 2x - 5. Find a. (f+g)(x) b. (f-g)(-1) c. (fog)(-2) d. (f.g)(x) . ()
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
FIND THE DOMAIN OF THE FUNCTION VX+1 +5 f(x) VVx2-x-6 A) (-00,-2) U (3,0) B) (-2,3] C)(-0, -1) U (3,0) D)(3.c) E)(-0, -1]U (5.00) F)(-60,-2]U[3,00) G)(-2,3)U(-1,00) H)(-00,-1] Select one: a. D b. C C. A d. B e. E f. F g. G h. H
Find the Nash equilibria of the games. X Y X Y Z 0,4 U 2,0 1,1 3,3 3,3 M 3,4 1,2 2,3 | 0,2 3,0 (b) Y Z 5,1 0,2 U 8,6 8,2 M 0,1 4,6 6,0 M 1,0 2,6 5,1 2,1 3,5 2,8 2,8 0,8 4,4 х 0,0 8,10 4,1 3,10 4,1 B 0,0 3,3 6,4 8,5 6,4 8,5
9. If f(x) = x2 - 6x + 2 and g(x) = -2x, find a. f.g(2) b. g•f(x)