If A is an adjoint operator on H=K2 and  for x=(x(1), x(2)), we define A(x)=(x(1)-x(2), x(1)+x(2)), how do we derive that A*(x) = (x(1)+x(2), -x(1)+x(2))?

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: If f(x) = x* + 7, g(x) = x - 5, h(x) = Va, then fo g(x)= go f(x)= ho g(x)= %3D

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Q: Given the function h (x) = -v2 – x, what is h (x)?

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Q: Let 2 f(x) = a² + 9 and g(x) = /3x – 5 If h(x) = (f o g)(x) and k(x) = (go f)(x) then h(3) and k(3)…

A: Composite functions

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Q: e*+1 Differentiate the function f(x)= In -3x +1 -3e A) 4e** +1 +1 3e B) e +1 +1 3e C) 3x 1. D) E) +1

A: Topic: differentiation

Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

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Q: Letf(x) = x² – 5x + 6, g(x) = 5x – 1, find the following: (1)(f + g)(x) = (2) (ƒ − g)(x) = - (3) (ƒ…

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Q: Show that f(x) = (5x-3)/(7x-4) is invertible by f(a) = f (b) and solving : f(a)= (5a-3) / (7a-4)…

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Q: Let g(x) = VT + 3.

A: Given,  g(x)=x2+3

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A: To determine the end behavior for the given equation.fx=x-6x+1

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A: Given that:           f(x)=(1-x)2 and g(x)=9-x Find f(g(x)) and g(f(x)).

Q: Find the x-intercepts of the polynomial function. (Hint: Find the Zeros) f(x) = (x + 1)(2x - 6)(x -…

A: To find the x-intercepts of the polynomial function. f(x) = (x + 1)(2x - 6)(x - 5)f(x) = x3 - 4x2…

Q: f(x) = In (1+x³)

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Q: E. y = f (x) = (x² + 2x + 1) (2x² + 4x + 2) (Use the Product Rule) 10x² 20x+10 2x-2 (Use the…

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Q: What is the end behavior for this equation? f (x) = (x − 6) (x + 1) O As a →→∞, f(x) →→∞, and as a…

A: Given: Now,             limx→∞ f(x)=limx→∞ x-6x+1=limx→∞ x-6·limx→∞ x+1=∞·∞ =∞

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Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

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Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.