i'm not sure how to explain that c is injective and find the range of its inverse.
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i'm not sure how to explain that c is injective and find the
range of its...
Determine which of the following functions are injective, surjective, bijective (bijectivejust means both injective and surjective)....
Determine which of the following functions are injective, surjective, bijective (bijectivejust means both injective and surjective). And Find a left inverse for f or explain why none exists.Find a right inverse for f or explain why none exists. (a)f:Z−→Z, f(n) =n2. (d)f:R−→R, f(x) = 3x+ 1. (e)f:Z−→Z, f(x) = 3x+ 1. (g)f:Z−→Zdefined byf(x) = x^2 if x is even and (x −1)/2 if x is odd.
9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(...
9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(x)= х+2 a =-2 if 1 х%3D—2
9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(x)= х+2 a =-2 if 1 х%3D—2
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and...
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3
6 (12) For each function in parts a through f, state a domain that, ifit was...
6 (12) For each function in parts a through f, state a domain that, ifit was the domain of the given function, would make the function one-to-one, and explain your answer. If no such domain exists, explain why not. (Hint: graph the function and use the appropriate line test) a. f(x) x 2| b. g(x) 3D х? —1 с. q(х) 3D х2 - 3х — 4 d. k(x)x3 9 = е. f(x) %3D Зх — 1 f l(x) 2x +...
please show complete answers for a,b,c,d Find the solution to the given system that satisfies the given initial conditio...
please show complete answers
for a,b,c,d
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т) %—D (d) x(T/6) (с) x(- 2т)%3 (а) x(0) %3 -1 1 3 (а) x() 3D| | (Use parentheses to clearly denote the argument of each function.)
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т)...
(1) For each of the following functions, determine if it is injective and determine if it...
(1) For each of the following functions, determine if it is injective and determine if it is surjective. Justify your answer. (a) f : R → R, f(x) = 2x + 3. (b) g : R → R 2 , g(x) = (2x, 3x −1). (c) h : R 2 → R, h((x, y)) = x + y + 1. (d) j : {1, 2, 3} → {4, 5, 6}, j(1) = 5, j(2) = 4, j(3) = 6. (2)...
Can someone please check to see if I am doing this right? Please write legibly if...
Can someone please check to see if I am doing this right? Please
write legibly if you post revisions in comments, thank you!
(5) Let A {q, r, s, t and B = {17, 18, 19, 20}. Determine which of the following are functions. Explain why or why not. а. fSAX В, where f — 1. q, 17), (r, 18), (s, 19), (s, 20) Answer: this is a function because in function 'f element 's' is related to 1 element...
1. (6 marks) Provide the domain, target, and range of the following functions (a, b, c,...
1. (6 marks) Provide the domain, target, and range of the following functions (a, b, c, d}3 . For each x E(a, b, cF, fx)-dx. a) fta, b. c}2 b) g: {a, b, c, d)-(a, b, c, d}?. For each x E(a, b, c, d], g(x) (4 marks) Use the ceiling and floor functions to qive a mathematical expression for the following a) Among a random group of 100 people at least 9 must be born in the same month...
can please explain why F(sigma)= u? We consider the PDE: for given o(t) € H|(12) find...
can please explain why F(sigma)= u?
We consider the PDE: for given o(t) € H|(12) find the (weak) solution u € H}(2) of V. (g(x)Vu(x)) = 1. The corresponding parameter-to-solution map is defined as F: D(F):= H (1) C H²(2) L’(1) F(o)= u uc H (12) c L’(2) solving b(u, w;o) = f(w) for all w e H7(), b(u, w; 0) := ( D2.Vwdi, f(w):=- / w dr. The associated inverse problem is for u E L(12) find o E...
Explain relationships and properties between inverse functions 1. Consider how Alex, Jordan and Kelly found the...
Explain relationships and properties between inverse functions 1. Consider how Alex, Jordan and Kelly found the inverse function of f(x) = Alex's work Jordan's work y = ²X+1 foftly) f(x)= y x + 1 ore So: x=2/34 +1 x-1= 234 V - y I f(f="(y)) = 2 / 3 f (y) + 1 = y 2/3f-lly)=4-1 (y) (y) Kelly's work 6 y = 2x + 1 9-1= 2x 3(4-1) = 2x 3(4-1) = x 2 But f(x) y f"(f(x) =...
9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(x)= х+2 a =-2 if 1 х%3D—2
9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(x)= х+2 a =-2 if 1 х%3D—2
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3
6 (12) For each function in parts a through f, state a domain that, ifit was the domain of the given function, would make the function one-to-one, and explain your answer. If no such domain exists, explain why not. (Hint: graph the function and use the appropriate line test) a. f(x) x 2| b. g(x) 3D х? —1 с. q(х) 3D х2 - 3х — 4 d. k(x)x3 9 = е. f(x) %3D Зх — 1 f l(x) 2x +...
please show complete answers
for a,b,c,d
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т) %—D (d) x(T/6) (с) x(- 2т)%3 (а) x(0) %3 -1 1 3 (а) x() 3D| | (Use parentheses to clearly denote the argument of each function.)
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т)...
Can someone please check to see if I am doing this right? Please
write legibly if you post revisions in comments, thank you!
(5) Let A {q, r, s, t and B = {17, 18, 19, 20}. Determine which of the following are functions. Explain why or why not. а. fSAX В, where f — 1. q, 17), (r, 18), (s, 19), (s, 20) Answer: this is a function because in function 'f element 's' is related to 1 element...
1. (6 marks) Provide the domain, target, and range of the following functions (a, b, c, d}3 . For each x E(a, b, cF, fx)-dx. a) fta, b. c}2 b) g: {a, b, c, d)-(a, b, c, d}?. For each x E(a, b, c, d], g(x) (4 marks) Use the ceiling and floor functions to qive a mathematical expression for the following a) Among a random group of 100 people at least 9 must be born in the same month...
can please explain why F(sigma)= u?
We consider the PDE: for given o(t) € H|(12) find the (weak) solution u € H}(2) of V. (g(x)Vu(x)) = 1. The corresponding parameter-to-solution map is defined as F: D(F):= H (1) C H²(2) L’(1) F(o)= u uc H (12) c L’(2) solving b(u, w;o) = f(w) for all w e H7(), b(u, w; 0) := ( D2.Vwdi, f(w):=- / w dr. The associated inverse problem is for u E L(12) find o E...
Explain relationships and properties between inverse functions 1. Consider how Alex, Jordan and Kelly found the inverse function of f(x) = Alex's work Jordan's work y = ²X+1 foftly) f(x)= y x + 1 ore So: x=2/34 +1 x-1= 234 V - y I f(f="(y)) = 2 / 3 f (y) + 1 = y 2/3f-lly)=4-1 (y) (y) Kelly's work 6 y = 2x + 1 9-1= 2x 3(4-1) = 2x 3(4-1) = x 2 But f(x) y f"(f(x) =...
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