For the following exercise, evaluate the expression, given functions f, g, and h: f(x) = 2x – 1 g(x) = 3 – z² h(z) = – 2x² + 5z – 2 5G) - h( – 2) =

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: If f(x) has three roots, then it has 1 inflection point.

A: Note :- Inflection point is given by f''(x)=0 So  We have three degree polynomial f(x) Then degree…

Q: 8) For f(x) = x +1 and g (x) = 5x + 4, determine the following. a) 4 points h (x) = (f •g)(x). b) 4…

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Q: V4 + 3f(x), where f(1) = 7 and f'(1) = 4, 62. If h(x) find h'(1).

A:

Q: For the function g(x)=1/3x-9 find g(6)+g(a)

A: For g(6) we plug x=6 and for g(a) we plug x=a

Q: For the following exercises, use the functions f(x) = 2x² +1 and g(x) = 3x+5 to evaluate or find the…

A:

Q: For Exercise, evaluate the function for the given values of x. - 3x + 7 for x < -1 x² + 3 for –1<x<…

A: (Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: i. Given f(x)= x² - 8x and g(x)= 3x-1, find: g( f(x)) b. f(g(x)) а.

A: Composite function: A composite function is a function in which the output of one function is the…

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 exercises, find the x- or t-intercepts of the polynomial functions. 9. C(t) =…

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: of the function f(x) = 3x from x, =0 to x, =7. (Simplify your answer.)

A: We have to find

Q: f(x)= x^2 e^x

A:

Q: 13. For the function f(x) = r² – 3r + 2, find the difference quotient.

A:

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

A:

Q: Evaluate the following functions. Show your solution. Given the function f(x)=6x²+12x-15,where, a. x…

A: Here we have given a function f(x)=6x2+12x-15. So value of given function when x=2. a.)…

Q: Use the following equations: f(x)=3×-2 and (x)=x2-1  Evaluate:f(1)+g(2)

A: Use the following equations: f(x)=3×-2 and g(x)=x2-1  Evaluate: f(1)+g(2)

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: .  If f(x) has three roots, then it has 11 inflection point.

A: Note:- Inflection point is given by f''(x)=0 where f''(x) is double derivative of f(x) Clearly if a…

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 3, which expression has the greatest value? a.…

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

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

A: Graph of function

Q: 1. For f(x) = 2x2 – 3x, find : (a) f(2+ h). (b) f(2+h)-f(2) h

A: Simply put x= 2+h. Then simplify Then put x=2  And simplify..

Q: (1) For the function f(x)=*-3 4- 2x evaluate and simplify the following: (i) f(-1) (ii) ƒ(2a-b)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2) For f (x) = x² – 2x + 7, Find a) f(a) b) f (a + h) f(a+h)-f(a) h# 0 c) f (a + h) – f (a) d) h

A: Authoring guidelines:…

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: F(x) = 2ln(x). What is F′(2)?

A: we have to find derivative of f(x) at x=2where f(x) is given by

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: 2 For the functions f(x) = - 4x + 1 and g(x) = 2x-x+ 5, find f(g(3)). f(g(3)) =| %3D

A: given function are  f(x)= -4x+1  g(x)= 2x2-x+15  Find f(g(3)) .

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

A: Differentiation with respect to x,

Q: Use the figure below to approximate the value. f(1) = %3D f(x) 4 3 1. 3 4 -5 -4 -3-2 +1 -1 3- -3 -4…

A:

Q: Select the appropriate end behavior for the following function. f(x) = -4+ 3r - 5a2 + 2a %3D as x…

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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 piecewise function, find the values h( – 3), h( – 2), h(1), and h(2). - 5x - 20, for x< - 3…

A: The given piecewise function is: Since -3 lies in the interval -3≤x&lt;1. So, to find the h-3, take…

Q: nd the y coordinate of the point of inflection of the function f(x)=x3-x2

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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, use the written stament to construct a polynomial function that…

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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: Perform the following exercises for the function f(x)=-x-6x² 38. Find the x-intercepts. A (-4, 0),…

A: Given: f(x)=-x3-6x2-9x-4

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

A: We have to consider a third-degree polynomial f(x), which has the properties f′(1) = 0, f′(3) = 0.…

Q: Given the function f(x,y)=x³-5x² + 4xy-y²-16x - 10. Which ONE of the following statements is TRUE?

A: As per as our guideline i am supposed to answer only one question please repost the remaining again…

Q: For the following equation, evaluate f'(-1), f(x) = 5x^2 + 3x

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Q: For the following exercises, find the zeros and give the multiplicity of each. 31. f(x) = x^2 (2x +…

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Q: g (x) = (/9x + 3 ) (7x² + 1)

A: Find your answer bellow

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.