The fixed point of g(x) = In(e2* – 3e* + 3) +x on [0,1]: In (2)

Q: 3) Show that (f o g)(x) = (go f)(x) = x. f (x) = 4 – 3x g(x) = (4 – x)

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Q: [g(x)f"(x) – Sx)g'(x) g*(x) + C g(x)

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Q: Let g(x) = e² · (x² – 9), g' (x) = e" . (x² + 2x – 9), and g" (x) = e² · (x² + 4x – 7) , Choose one…

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

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Q: Q10: Let f(x), g(x) € Z&(x) such that f(x)=1+2x+3x² and g(x) = 2 + x² + 2x³. Then a) deg((x)g(x))…

A: Step 1:11)If S₁ generates V, it means that every vector in V can be expressed as a linear…

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: The fixed point/s of the function g(x) = In(e²* – 3e* +3) + x on [0,1] is / are: Select one: а. О, 1…

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Q: If a, b = R be fixed positive numbers such that for all x f(a + x)=b+ [b³ + 1-3b². f(x) + 3b{f(x)}²…

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Q: Find g" (1) for g (x) = xª – x³ + 2x -

A: Topic: differentiation

Q: f (x) + 5 f(x) – 3 g(x) (4) Let f(x) = mx+b, where m and b are constants and m 6= 0. Prove that the…

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Q: Show that E(X-µ)³ = E(x³) −3 [E (x²) ][E(X)] + 2[E(X)]³

A: The linearity of expectation property: With the assumption that, Xi's (i=1,2,...n) with n positive…

Q: Find f(x) and g(x) such that h(x) = (fo g)(x). 8 h(x) = - x-2 Suppose that g(x) = x- 2. f(x) =

A: It is an important part of statistics. It is widely used.

Q: Develop a first-order method for approximating f" (x) which uses the data f (x – 5h), f (x – 3h), f…

A: We have to develop a first-order method for approximating f''(x) which uses the data f(x-5h),…

Q: Find f(t). &{ 4s - 1 3 \s² (s + 1)³√ f(t) = 7H(t)-t-7e --(61-5-12) 6t- - e X

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Q: The graphs of g(x) and h(x) are shown. Define the function f(x) as f(x) = g(x) h(x) - 9 8- 7 6 5 4 3…

A: We have to find the value of f'(3)We using the formula of divided differentiation.

Q: d. y= x² + y x + cos y

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Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

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Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

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

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = V3x +4 Suppose that g(x) = 3x+4. h(x) = %3D

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Q: Let f (x), −L < x < L, be an odd function that satisfies the symmetry condition f (L −x) = −f (x)…

A: Given: Let us consider the given function fx, -L&lt;x&lt;L and the condition fL-x=-fx. To find: An=0…

Q: (a) The graph of f(x) = (x + 42) can be obtained from shifting the graph of f(z) = to the %3D 42…

A: here we have graphical transformations.

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: 1. Given function is, f(x)=x2-9x-3=(x+3)(x-3)(x-3)=x+3 As, the function is a polynomial function and…

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x+9. 4 h(x) = V2x +9 f(x) =

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Q: 2 2x +1 Let f(x) =- |- log, (x² + + 1) • (b* - 5b +3)x +c. If f(x)isa tan decreasing function of x…

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Q: T « A-Z O F(x) = -2x² - 5x 08-²+2x² OPx)=x² + 2x³ OF(x)=x²-2x Of(x)=2x²³ - 3x +3 0-³²- Ox)=³-2x³²+x…

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Q: Use the function h(x) = = x². 7x to answer the questions below. (a) Is h(x) a one-to-one function?…

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Q: 5. Given f(x) = Vx – 3 and g(x) = 3x* – x? + 2, find %3D a) (f•g)(x) b) g(F(x)) = Domain:

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Q: Find f(x) and g(x) such that h(x) = (f. g)(x). h(x) = - = 2² -6 1 O f(x) = ₁ g(x) = x² - 6 f(x) =…

A: Given query is to find the composite function.

Q: x + 6x + x = t cos 5t x(0)= 0 (0) = 1..

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