Find: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x) = x2 + 1, g(x) = √(2 - x).

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: FIND THE DOMAIN OF f) = V9-6x+x

A:

Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

A: Given :fx,y=3xy2+4x2+y2-16

Q: (4) For the functions f(x) = Vx- 3 and g(x) = Vx+2, find and determine the domain %3D in each case:…

A: As you have asked multiple question, we will answer first question only. lf you want any other…

Q: 5. For the quadratic function f(x) = 5x² – 3x + 1, what is f(3)? %3D

A: f(x) = 5x2 - 3x + 1 f(3) means the value of the function when x = 3 f(3) = 5·32 - 3·3 + 1 f(3) = 5·9…

Q: f(x) = x² + 3x – 5 - Suppose What is f(-3a)?

A:

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)

A:

Q: Given that f(x) =x+4 and g(x)=x -x, find (f+g)(1), if it exists. -X,

A: Given two functions f(x) and g(x). Then (f+g)(x)=f(x)+g(x)

Q: 5. For f(x) = 2x + 8 and g(x) = 4 - 2x, determine the domain of f(g(x)) %3D SESEASAN

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

A:

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

A:

Q: How are the zeros of g(x) related to the standard form of the function?

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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: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:

A: Given problem:- fx,y=3xy2+4x2+y2-16  To find:- Domain of f(x,y)

Q: Show that the real-valued function f: R → R defined by f(x) = x° x E R. 3x2 + 3x + 1 increases for…

A: Answer

Q: What is f(12) for the function f(x) = 2x + 3 ?

A:

Q: Find the extrema of f on the giv f(x) = 3x2- 10x + 73;

A: follow next step

Q: Let f (x) = -3x +1 and g (x) = -2a+ 5a 1. Find f (x)-g (x) 22-5x 5x 5x + 5x D-a2 -5x + 2

A: Given the functionsf(x)=−3x2+1g(x)=−2x2+5x−1

Q: Compute f '(a) algebraically for the given value of a. f(x) = 3x2 + x; a = 8 f '(a)

A: The given function is  f(x) = 3x2 +x We know that (d/dx) xn = n. xn-1

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

A:

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

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Q: Given that f(x) = 3x²- 3cx +2, find c such that if f(x) is divided by (3x – 1), the remainder will…

A: Using synthetic division we have to find the value of 'c' for which the following function when…

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

A:

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: find f '(x) using the definition of the derivate if f(x)= (4)/2x+3

A: We are given the function,                        f(x)= (4)/2x+3. We need to find f '(x) using the…

Q: Given the funci f(x + 1) = f(x) + f( – 3) = %3D - ||

A:

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

A:

Q: (-2x² – 5x + 14,x 3 x= 3 continuous at x = 3. Justify the conclusion.

A: For given function f(x) ; -2x2 -  5x  + 14  , x < 3   .... (i) 19  , x = 3         ..... (ii)…

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

A:

Q: For the function f(x) = + 3, find f-1(x). f-'(x) = /3x – 3 %3D f-1(x) = /3 (x – 3) f-1(x) = V3x – 3…

A: Steps to find the inverse of a function f(x) are: 1. Substitute f(x)=y. 2. Interchange x and y. 3.…

Q: Given f(x) = –3x² – 6x – 13 , find f' (3) using the definition of a derivativ Provide your answer…

A:

Q: Given that f(x) = x², g(x) = x² fogoh= - x, and h(x) = x find

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Q: Use the intermediate value theorem to show that f has a zero between a and b.

A: We have  fx=2x4+3x-2;          a=12, b=34 Evaluate f12 and f34 f12=2·124+3·12-2=18+32-2=-38…

Q: Use the Intermediate Value Theorem to show 11. f(x)=2x' +3x-1 has a zero between a = 0 and b = 1.

A:

Q: Given that f(x) = 8x – 9 and g(x) = 7 – x², calculate %3D - %3D - (a) f(g(0)) = | (b) g(f(0)) = %3D

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the domain of f

A: f(x)=2x+7

Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: Find the domain of f(x) = Vx-4 %3D

A: Given the function  f(x) = x-4

Q: Find f such that f′(x)=7x2+9x−2 and f(0)=7.

A: We integrate the given function and use the given condition f(0)= 7 .

Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

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

A:

Q: (c) Using the IV.T., explain why f(x) = x³'+ 2x – 1 has a zero in the interval [0, 1].

A: I have the state the theorem first and by using the statement i have show the root

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

A: Consider the function

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f + g)(a + b)?

A: Given,            fx=3x+4 and gx=-2x-3To find : f+ga+b