Complete the given sentence. (Enter your answers as a comma-separated list. If there is no such point, enter NONE.) The closed-form function  f(x) =  4/x2 − 9   is continuous for all x except x =  .

Q: If g is a twice differentiable function and f(x) = xg(x5), find f ″ in terms of g, g′, and g″

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Q: Consider the function h(x), for which h(4) = 7 and h' (4) = -5. h(x) Find f'(4) for the function…

A:

Q: Evaluate and tell whether the given function is continuous or not. 3. f(x) =7-4 x+2 at x=2 2-4 4.…

A:

Q: let g(x)=x3-6x2-15x+20. Find all the inflection points of this function.

A:

Q: Write A if the function is continuous and B if not. 1. f (x) = x² + 2x + 1 at x = 2 2. f (x) = x² -…

A: we need to identify that given function is continuous or  not

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: The function f (x) = x³has a vertex. O True False

A:

Q: In (x – y²) 4 – x² – y² f(x, y) =

A: Given function is: fx,y=ln x-y24-x2-y2 We have to find the domain of the function fx,y.

Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

A: Find your answer below

Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

A:

Q: Is the function f(x) even, odd, or neither? 2x + 1

A: When -x is substituted for x in a function f(x) and the same function is obtained then the function…

Q: - Determine algebraically whether the function is even, odd, or neither. a. f(x) =-2x*-x2 b. f(x) =…

A: Solving the problem by finding the function is even or odd.

Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x)

Q: Find the open intervals on which the function is increasing or decreasing.

A: Given: f(x)=(x-1)2(2x-5)

Q: Let f(x) = { 8x6 if x 10 If f(x) is a function which is continuous everywhere, then we must have b=

A:

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

Q: Find constants a and b, such that the function following function is continuous for -3 <x <0. -x +1,…

A:

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

A:

Q: When written as y = f1x2, a function is said to bedefined .(a) explicitly (b) consistently(c)…

A: y = f1x2

Q: Consider the functions f(x) = y3x - 4 and g(x) Vx2 - 16. Find the domain of f(x) and g(x) in…

A:

Q: 2. Rewrite the function f(x) =-3(x+2)-3 in the form f(x) =ax+bx+c.

A: The given function is, f(x)=-3(x+2)2-3. Rewrite the given function as follows.…

Q: Determine if the given function is decreasing or increasing using the given interval: f(x)=3x-3x^2…

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Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

A:

Q: Determine whether the function is one-to-one. h(x) = x2 - 2x

A: Given: h(x)=x2-2x Determine the value of the function at x=0. h(0)=02-2(0)=0

Q: let g(x)=x3-6x2-15x+20. Find all inflection points of this function.

A: Given: gx=x3-6x2-15x+20 The point of inflection of a function is at the second derivative is zero.…

Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,…

A: Answer: The solution is as given below:

Q: Determine the intervals upon which the given function is increasing or decreasing. f(x) = 3r + 12x?

A: The given function fx=3x3+12x2 differentiate with respect to x f'x=9x2+24x       =3x3x+8

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given that, The function changes concavity at the inflection point. To find inflection point, solve…

Q: 2. Find and sketch the domain of the following function f(x,y) = 4– x² – y2 + V1- x2

A: Consider the given function as fx,y=4-x2-y2+1-x2

Q: Find the open intervals on which the function is increasing or decreasing           f(x) = (x −…

A:

Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: f(x)=x4-4x2=x2x2-4f(x)&gt;0⇔x2x2-4&gt;0⇔x2&gt;0 and x2-4&gt;0 or  x2&lt;0 and x2-4&lt;0⇔x∈ℝ \ 0 and…

Q: Consider the function h(x), for whichh(5)=11 and h′(5)=−5. Find f′(5) for the function f(x)=h(x)/x

A: Given function is Differentiating both sides with respect to x using quotient rule of…

Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: B. Find the domain of each function. 1. f(x)=1+x 2. f(x)=1- 3, h(x)= -4

A: We find domain of given functions from 1-3(as by Bartleby policy I have to solve first 3 subparts)…

Q: 4. Determine if the function is even, odd, or neither. g(x)= 2x – 5x+12

A: Given,           gx=2x3-5x+12To find : Determine if the function is even, odd, or neither.We know…

Q: Consider the function below. List the answers. x2 + 9x + 14 f(x) x2 + x – 2 For what real numbers is…

A: A rational function is discontinuous at the points on which the denominator is zero.

Q: 4x3 f(x)%3= 4x2 - 3

A:

Q: Find the domain of the function 1 f (x) = - 1

A:

Q: At what points are the functions continuous?

A: At x = 3: Therefore g(x) is continuous at x = 3.

Q: Consider the function below. List the answers. x2 – x – 20 - f(x) x2 – 25 - For what real numbers is…

A:

Q: Evaluate and tell whether the given function is continuous or not. 5. f(x)= x² + 2x – 4 at x=4

A: See the details solution in below

Q: If  f(x) = x +4 and h(x) =  4x - 1 , find a function  g suchthat  g ° f =h .

A: Given function: fx=x+4hx=4x-1 We have to find g(f(x)) Substitute the given expression for fx and hx…

Q: Which of the following functions are quadratic functions? Select all that apply f(x)=3/x^2 f(x)…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: The function f(x) is shown in the graph. 2 1 2 3 6 7 -1 0 -1. -2 -3 4 -5 -6 f(x) an

A: Given Problem:- Find the type of graph

Q: or the function f (x) = 3x³ – 5x³ + 3, find the interval(s) on which f (x)is increasing and…

A:

Q: Let f(x) = 2x - 1 and g(x) = x2 + x - 2. Find the function: (fg)(x)

A: It is given that, fx=2x-1  and  gx=x2+x-2 We have to find the function :fgx

Q: ) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

A:

Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a&lt;c&lt;b.…

Q: find and simplify f (a +h) -f (a) / h     (h is equal/not equal to 0) for function  F(x) =…

A: Consider the provided question,

Q: 5x Determine the values of x for which the function f (x) = is discontinuous. x2+x

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.