For the following exercises, use the functions f(x) = 2x² +1 and g(x) = 3x+5 to evaluate or find the composite function as indicated. f (g(2)) f (9(x)) g(f(-3)) (go g)(x)

Q: -4x By use of the product rule, differentiate the function f (x) = x³e¬4×.

A: Rule:

Q: 9. For the function f(x)=6x²-7x-5, find: @ the x- intercepts of the graph of the function b the y-…

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Q: Explain how the range of the function f(x) = x2compares to the range of g(x) = f(x) + k.

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Q: What is the domain of the function f(x) = √(x4 - 16)?

A: Given function is fx=x4-16. To find the domain of the given function. Solution: Domain is the input…

Q: For the following exercises, determine the end behavior of the functions. 21. f(x) = −2x^4 − 3x^2 +…

A: 21 Given information: f(x)=2x4-3x2+x-1 Calculation: The end behavior of a polynomial function can be…

Q: What is the domain of the function f(x)=x/x²-1?

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Q: What is a reasonable domain for the function f(x) = 14x + 12?

A: A reasonable domain for the function f(x)=14x+12 is 0<x<8

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

A: f(x)= 3x+4 , f(3)= 14 g(x)= -2x -3, g(3)= -9 f(-9)= -23

Q: What is the point of inflection for the function f(x) = x³ + 2x² – 3x - 4? %3D

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

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Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x2 ? g(x)…

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Q: Can you show me how you would work f(x)=2x2-4x where f(-1)

A: Given function,f(x)=2x2-4xPut x=-1then,f(-1)=2(-1)2-4(-1)f(-1)=2(1)+4…

Q: What is the domain of the function f(x) = ^x4 - 16?

A: What is the domain of the function f(x) = x4 - 16?

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

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Q: For the following exercise, identify the function as a power function, a polynomial function, or…

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Q: For the following exercises, find functions f(x) and g(x) so the given function can be expressed as…

A: Given that h(x)=f(g(x))=(x-5)3

Q: For the following exercise, graph the polynomial function. Note x- and y-intercepts, multiplicity,…

A: The given function,      fx=xx+4x-4x+7

Q: For the function f (x) = x - 3/ 4 -2x2 evaluate and simplify the following: f(2a-b)

A: Follow the procedure given below.

Q: how do you evaluate the function f(x)=x^2+4x-7 at f(-x)?

A: To evaluate the function at f (- x).

Q: snip

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

Q: How will the function f(x)= -(x+4)^3-8 be transformed from its parent function?

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Q: For the following exercise, findf (x) for the function. 29. f(x) 2x – 13

A: Solved below

Q: 51. f(x) 5 5- 4- 3- -5-4-3-2 1 2 B 4 5 For the following exercises, use the graph

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Q: What is f(3) for the function f(x) = 4x + 7? f(3) =

A: Put value in function

Q: For the following exercises, construct a polynomial function of least degree possible using the…

A: Let the polynomial f(x) with roots -2, 1/2 (with multiplicity 2), that is ,with the roots,…

Q: For the following exercises, determine the end behavior of the functions. 18. Ax) = x³

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Q: For the following exercises, use a graphing utility to determine whether each function is one-to-…

A: A function is said to be one one if for f(x)=f(y), x=y

Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: For the following exercise, evaluate the expression, given functions f, g, and h: f(x) = 2x – 1 g(x)…

A: Given functions: fx=2x-1......(1) gx=3-x2......(2) hx=-2x2+5x-2......(3) The objective to find…

Q: Explain why f(x) satisfies the Intermediate Value Theorem. f(x)=ex - x3 - 8

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Q: For the following exercises, use the given values to find (f-')' (a).

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Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: For the following exercise, graph the function. f(x)= x2-2

A: Graph of function

Q: For the following exercise, identify the function as a power function, a polynomial function, or…

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Q: For the following exercises, use the functions f(x) = −0.1x + 200 and g(x) = 20x + 0.1. Where is…

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Q: 2 For the function f(x) = 5x² – 5x, evaluate and simplify. f(x + h) – f(x) h II

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Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: -3x-11 for f (x) = 2 for x>5 Find f(-1)

A: The given function is  f(x) = -3x-11if x≤-52if x>5

Q: For the following exercises, use each pair of functions to find ƒ (g (0)) and g (f(0)) . 72. f(æ)…

A: Given that f(x)=5x+7 g(x)=4-2x^2 To find  f(g(0)) and g(f(0))

Q: for the following exercise find f'(x) f(x)= x2ln9x

A: Consider the given function, fx=x2ln9x Use the product rule of differentiation, ddxu·v=vdudx+udvdx…

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: For the following exercises, find - for each function. 228. y = (3x² + 3x – 1)*

A: Differentiation with respect to x,

Q: For the following exercises, determine intervals where f is increasing or decreasing, local minima…

A: Given that f(x)=x3-6x2 To find critical points Put f'(x)=0 Now find f'(x) f'(x)=3x2-12x Now put…

Q: For the following exercise, use the function h(t)= -16t2+80t to find the values h(a)-h(1) / a-1

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Q: For the following exercises, find the domain of each function using interval notation. 10. f(x) = V4…

A: 10. f(x)=4-3x15. f(x)=3x+14x+216. f(x)=x+4x-4 Given that:          NOTE: As per our answering…

Q: For the following exercises, find functions f(x) and g(x) h(a) = f (g(x)). 26. h(x) = (x +2)² so the…

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Q: For the following exercises, write the domain and range of each function using interval notation.

A: The graph of the curves and lines is shown above.

Q: What is the domain of the function f(x) = 2x – 4?

A: Domain of a function is the possible values of x, which satisfies the function, i.e. we get a value…

Q: following exercises, consider a third-degree polynomial f(x), which has the properties f′(1)=0,…

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