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: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

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: 2. The function f(x) = acosbx + c is graphed below. If a, b, and c must be positive integers, what…

A: The function f(x)=acos(bx)+c be graphed above. If a, b, and c must be positive integers, what is the…

Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: Let f(x) = 1 and g(x) + 6. %3D %3D Then (f o g)(x) = (go f)(x) = |3D 4)

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Two similar, but different ones. Consider the function f(x)=exp(x). Let p in P, be the interpolation…

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Q: X 3x + x*+ 2

A: # (a) part seems incomplete. Therefore solving the second part The given function is…

Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: Let f: R - R and g: R - R be functions given by f(x) x' and g(x) x + 5. Find g of and fog

A: Answer

Q: f(x) 17. Divide the functions: g(x) where f(x) = 5x-4 and g(x) x +4 %3D

A: Authoring guidelines:…

Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

Q: 1.) Find the domain of g(x) = V7² +3 + 3x

A: Given data: The given function is g(x)=(x2+3x)1/4. The domain is the value of x or a complete set of…

Q: 1. Consider the functions f(x) = 3* + 2 and g(x) = -f (÷x 3)+ 2. Describe %3D | .3 the…

A: Given  The function is f(x)=3x+2  and  g(x)=-f13x-3+2.

Q: Let f (x) = /2x +1 and g (x) = /2x – 1. Find h (x) =f (x) × g (x). %3D | a) h (x) = V4x² – 1 %3D - O…

A: Given f(x) = 2x+1g(x) = 2x-1

Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute…