Use f(x) = wx +p and g(x) = tx + u to find: (a) fog (b) gof (c) the domain of fog and of g of (d) the conditions for which f og=gof

Q: Find (a)(f og)(x) and (b)(gof)(x) f(x)=3x-2, g (x)= 2x-2

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Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: Find the domain of f

A: Given: fx=9-x2

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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Q: 2 For f(x) x 5 and g(x)= 7- x, find b. the domain of f og (fo g)(x); а.

A: Consider the given functions.

Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

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Q: (b): Let f(x) V3x +9 and g(x) = 2x + 6 find fog(x) and gof(x).

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Q: If f'(x) = x³ – 2x* + x³ + 2, then f has inflection points at

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Q: what is (f +g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

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Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: If f(x) = | V17+t³dt, then what is f(-1)?

A: Leibnitz Rule: Let f(x) be a differentiable function on closed interval a,b such that a,bare the…

Q: Given f(x)= Vx– 5;x#5 and g(x)= x+3. Find the domain of (go fx)?

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Q: X-2 f(x)3D x2+x-30

A: In the given question a function is given and we have to find point of discontinuity of the…

Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

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Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: Let f(x) = x² + 2x – 1 and g(x) = 2x – 4. Find 3f(x) – 2g(x). - -

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Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

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Q: Let h(x)=f(x)g(x). If f(x)=−2x2+2x+3 and g(x)=−x2−3x−4, what is h′(−1)?

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Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

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Q: D. Let f(x) = 3x + 5 and g(x) = 2x - 7. Find 1. (fog)(x) %3D %3D 2. (g of)(2)

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Q: Let f(x) = 6 + V2x + 11. Find ƒ ¯'(x). f- (x) = where the domain is [6, ∞)

A: The inverse function of a given function y=f(x) can be obtained by interchanging y and x in the…

Q: The domain of f(x) = V4 – x² is –

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Q: Let h(x)=f(x)g(x). If f(x)=4x^2+3x+1 and g(x)=3x^2−3x−4, what is h′(−1)?

A: Given: hx=fxgx, fx=4x2+3x+1, gx=3x2-3x-4

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A: Given:   Now, we need to find the value of x such that P(x) is the maximum. For simplicity, we plot…

Q: Find f'(a) for -7 f(x) = V11 – 9a f'(a) = %3D

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Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: The domain of f(x) = v2x + 1 is

A: According to the question, we have to find the domain of the above algebraic function fx=2x+1. The…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: The domain of f(x) = Vx is

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Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?

A: Add the given two functions and differentiate with respect to x

Q: If f"(x) = x³ – 2 x* + x³ + 2, then f has inflection points at

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Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: f (x) = x 2 satisfies the Horizontal Line Test on the domain {x : x > O}.

A: Horizontal line test is a test used to find the function is injective that is one-to-one. First…

Q: For f(x) = 3x+2 and g(x) = x^2a. f of gb. g of fc. f of fd. g of g

A: To find f(g(x)), we replacex by g(x) inf(x)  ,to find g(f(x)), we replace x by f(x) in g(x)To find…

Q: The critical points of the function f(z) = 9x² - 8x + 16 are

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Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

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Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

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Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function

Q: B3(a): Find the critical points of the function f(x) = 6x² – 12x. %3D

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Q: Find f' (x) for f (x) = 8x-3e. %3D

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Q: In(x² + y² – 9) V25 – x2 – y? - Sketch the domain of f(x, y) -

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Let f(x) = (2³ – 4x)° and g(x) = 8r + 1. %3D - Find g(f(x)).

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