LARLINALG8 5.2.501.XP. Use the functions f and g in C[-1, 1] to find (f, g), f, 9|, and d(f, g) for the inner product (f, g) = f(x)g(x) dx. %3D f(x) = x2, g(x) = 3x2 + 3 %3D (a) (f, g) (b) (c) ||g|| (d) d(f, g)

Q: Let f and g be functions defined by, f(x) = v4 – x and g(x) = v3+ x. %3D - Find fog, gof(-5), (f +…

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Q: Use this interpolating polynomial for the data points f(x) 1 0-368 1-2 0-301 1-3 0-273 1.5 0-223 To…

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Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

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Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: Use the graph of y = f(x) to graph the given function g: g(x) = -f(x)

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Q: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

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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: What is the domain of the function f (x) : (-1,0) U [1, 00) b. (-1,0] U (1, ∞) c. (-00, –1) U [0,1)…

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Q: 1. What degree are the following polynomials (3.a and 3.b) and monomials (3.c and 3.d)? (a) f(æ) =…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: Q1// B :-find and sketch the Domain of f(x,y)=v(x-4)+y -9 + 4-x-y

A: Let's find.

Q: Evaluate C(x,(x−1))

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Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: 7. Consider function below. What is the value of fl-5); f(0); 3) respectively? (4x+11, -10 Sx<-2 fx)…

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Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: Find the domain. f(x) = 7x - 1 O {x[ x is a real number and x + 0.1428571 O {x[ x is a real number…

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Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

A: See the attachment

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) - 1

A: Given:y=fxgx=fx-1

Q: The function f(x) = -X-3)2 - 4, will have a shift of 4 units to the left. O True O False

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Q: Let f ( x ) = x^ 2 − 1 and g ( x ) = 3 x. Find ( f ∘ g ) ( x ). group of answers 3x^3 − 3x 3 x^2…

A: Given functions, f(x)=x2-1 and  g(x)=3x

Q: 2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x…

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Q: Describe the transformations of the following cubic functions from the parent function f (x) = r %3D…

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Q: Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum,…

A: As per Bartleby rules we have to answer only first three questions.

Q: -1: Determine all values of x where the following function is concave down. f(x) = 1/2x² + 1²x³ = x²…

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Q: List the transformations that are applied to f(x) = Vx to produce f(x) =-2(x+3) -4

A: Vertical transformation: Vertical translating the graph is shifting the graph up or down in the…

Q: Let f(x) Then (f o g)(x) — 5а — 4 and д(x) — г* — 4+ 2. 4х + 2. = x - - (go f)(x)

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Q: That  f(x) = -2x,    g(x)= |x + 4|, and h(x)2/x-3. Evalute the functions for the given values of x:…

A: a) Obtain (g o f ) as follows.

Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: Use the graph of y = f(x) to graph the given function g: g(x) = 2f(x)

A: Given: gx=2fx The points on the given graph y=fx can be tabulated as, x -4 -2 0 2 4 fx 0 -2 0…