For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) h(x) = Vx + 2 Find (g • f)(x) and write the domain in interval notation.

Q: Let F(x) = 2x^3 - 5x + 1 Explain, by using the Intermediate Value Theorem, why this function has (…

A: A polynomial function is everywhere continuous. A point x= a is said to be a x- intercept of a…

Q: . Algebraically find the domain of the function in interval notation. f(x) = v3 + 5x

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Q: What is the natural domain of the function f (x) = /5 – x?

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Q: For Exercises R.1-R.4, write the domain in interval notation. x - 1 R.1. f(x) R.2. r(x) = Vx + 3 x +…

A: Consider a function fx. The domain of a function is the set of all values of x for which the given…

Q: Consider the function f(x) = 2x² – 2 for x > 0. %3D What is the domain of f-(x)? Write your answer…

A: The given function is the one-one function in the given domain.   Replace f(x) by y and then…

Q: Given the function h (x) = 3x - 1 and g (x) = x2 , evaluate g (h (2)). %3D

A: Given,           The functions are hx=3x-1  and  gx=x2.

Q: Given the function f(x)=0.2(x−2)(x+1)(x−5), determine the end behavior of the function

A: Given the function,

Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

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

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

A: Given,fx=x-3gx=x+2a gf=x+2×x-3          =x+2x-3For domainx+2x-3≥0x+2x-3≥0x≤-2  or x≥3So domain is…

Q: Let f (x) = 5x, g(x) = 2x² + 1, & h (x) = 6x + 2., find (go f) (x). Show your work using the…

A: fx=5x, gx=2x2+1, hx=6x+2

Q: For what value of x is the function f(x) = 4/2x2-6x not continuous?

A:

Q: Consider the function f(x)=4x2+9 for x≤0. What is the domain of f−1(x)? answer in interval…

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Q: what is the domain of g(f (x))?

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Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

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Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: snip

A: Concept - If there is function f(x), then for f(x) to be defined the numerator should never be…

Q: For Exercise, write the domain of the function in interval notation. f(x) = V9 – x

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Q: 2 For the function f(x) = 2x² – 4x, evaluate and simplify. - f(x + h) – f(x) h. II

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Q: For the function f defined by f(x) = x2 - 4x + 1, find: f(-x)

A: Here given as fx=x2-4x+1

Q: For Exercise, write the domain of the function in interval notation. Зх h(x) Vx + 2

A:

Q: What is the domain of the function f(x) = Vx + 4

A: The given function is fx=x-1x+4. It is known that square root function is defined only for non…

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

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

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: Use the functions f(x) = x + 4 and g(x) = 2x³ to find g-¹ o f-¹

A:

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial…

Q: Let flx)=-x²-x+6 and g(x)=2x+5 , find f(g\x))

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Q: g(x) = x2 + 2x – 2 I

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Q: For the function f(x) = 9x² + 12x + 22, find f'(x) f(x +h) – f(x) lim h 0 h O 24x + 22 O 9x O 9x +…

A: Please refer the image.

Q: Let f(x) = 56 – r and g(x) = ² – 2. Then the domain of fogis equal to

A:

Q: For the function f(x) = x^2/2-x, what is f(a+h)?

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Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: For Exercise, write the domain of the function in interval notation. s(x) V4x² + 7x – 2

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Q: For the function f(x)= -1x, find f(X th)-f(x) %3D

A:

Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: What is the domain of the function f(x) = x2-49? The domain is . (Type your answer in interval…

A: To find the domain of the function f(x)=x2−49.

Q: find the domain of f/​g, where f(x)=x+4 and g(x)=x2.

A: Explanation of the solution is given below....

Q: Explain why the function has at least one zero in the given interval.

A: To explain why the given function has at least one zero in the given interval.

Q: Assuming that the function f(x) = 3x + r³ +2 is one to one, find f(2).

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

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Q: For the function f(x) 2 -x'

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Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

Q: To conclude, state the result when the function f(x) = x³(x + 5) is differentiated. = (x),J

A: Given Function f(x)=x3(x+5) Formula ddx(u.v)=u.v'+v.u'ddxxn=n.xn-1

Q: for the function f(X)-2x, evaluale f(xth) f (xih)=

A:

Q: For the function of f defined by f(x)= -3x2+2x, evaluate: f(x+3)

A: Consider the given function: Here the objective is to evaluate the value of f(x+3).