iz+5 Let f(z) = z²+4i Then O None of these f is continuous if and only if z is not equal to: 1-i, -1+i V2-iv2. –V2+iv2 f is continuous if and only if z is not

Q: Describe all the numbers that are in the domain of f(t) V4+ 6t 3 Ot 2 2 Ot 0 Ot2 - 2 3 3. Ot < 2 Ot…

A: Function and it's domain

Q: The set of points {(x, y, z) | x² + y² = 2x} is a circle of radius 1. OTrue O False

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Q: bijection

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Q: If f (x) = x2 + 2x + 1, find f (x +1). O a) f (x + 1) = x² + 2x + 2 O b) ƒ (x + 1) = x² + 4x + 3 O…

A: Given f(x) = x2 + 2x + 1

Q: x + 1 (b) Let f(x) = and g(x) = x²+1. x + 2' ii. Determine if f and g are one to one or onto. iii.…

A: According to question given that f(x)=x+1x+2, g(x)=x2+1

Q: Use the function to find the image of v and the preimage of w. T(V₁, V₂) =(√² V₁. √2, - V2, V1 + V₂,…

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Q: If f (x) = 2 – x² +x° and ƒ(a) = 2, then all possible values of a are (A) 0 and 1 only (B) 0,1, and…

A: f(x)=2-x2+x3 f(a)=2 put x=2 f(2)=  2-22+23 =2-4+8 =6

Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

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Q: If f (x) = , then f-1 (x) 3-2r 3-2г 4.-3 O 21-3 3-4 If f = {(1,2),(-2, 3) , (3,0) , (0, 1)}, then…

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Q: x + 2y Let f(x, y) x² + 3 Evaluate f(3, 4)

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Q: Find the domain of f(x)= O {x|x€R¸x*−2,2} C O O {x|xeRx=2} {x|x€R¸x÷-4} {x|x€R¸x#4} 4x²-3 (4+x)

A:

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: 10. Use the function k(x) = x + 4x + 3. a) Write explicit equation for three functions f(x), g(x),…

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Q: Əw du aw expressing w directly in terms of u and v before differentiating. Then evaluate and ди Əv…

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Q: * Given : the constants C,D; the functions F1 (1eof argum G/2; the predicates P/1, R12,Q13- Which of…

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Q: We know that 1 is a zero of the function f(x) = x3 + x2 - 5x+3 the multiplicity of f at 1 is: Select…

A: We are given that 1 is a zero of f(x)=x3+x2-5x+3 ⇒(x-1) is a factor of f(x)=x3+x2-5x+3 Now, By long…

Q: If f(z) = ev8=rl then the simplify form of f(z) is: A) f(z) = ie-2vz B) f(z) = -i e?v2 C) f(z) =…

A: Given function is fz=e8−πi. We have to find the simplify form of fz. We know that eix=cosx+isinx…

Q: - 5- 5"+13 in the form h(x) = (f o g)(x) where f(x) x and Express the function h(x) g(x) x. a) g(x)…

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Q: Show that f(x) = 3x - 5 is a bijection.

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Q: Determine this function from R to R is a bijection. f(x)=2x+4

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Q: The fx³5x dx is x²+2 {A} x − ² (x² + 2)² + C 5 {B} x + ²(x² + 2)² +C {C}-{In|x² {D}+In|x² +21+ C…

A: integration

Q: For what values of a and b is

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Q: Check which of the following define linear transformations from R’ to R T(x1, X2, X3) = (x1 – X2, X1…

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Q: Show that f 1 (3) does not exist.

A: Given : To show f'(3) doesnot exists

Q: At least one of the answers above is NOT correct. Let f(z) = 2z¹ +22³ + 37² +2z + 1 and g(z) = 21³ +…

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Q: Show that f(x) = 3x - 4 is bijective.

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Q: Gue Functions fandg, FindCa) Cf g) C&) and its dlomiain, and b) (g oF (x) and its. O F(x)--6xtq,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the Domain of f-1, if f(x) = 2(x – 7)² Domain: y is all real numbers Domain: x > 0 Domain: y >…

A: The range of a function f(x) is the domain of the inverse function f-1(x). The domain of f(x) is the…

Q: f(x)=x2-1 g(x)=2x+1 prove if the following functions are onto prove if the following functions…

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Q: Discrete Math Show that f(x) = 3x - 5 is a bijection

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Q: if z=x+iy find real x and y such that |z+3|=1-i(z-2)

A: