Determine the domain of f(x). Give your answer using interval notation. J x - 2 f(x): 4x + 7 {* if 1 < x < 6 if x > 6 Domain:

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

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Q: Consider the following function. y = x2  divided by x2 - 36 a.) Describe the x-values at which the…

A: Given:y=x2x2-36To find:The x-values at which the function is differentiable using interval notation.…

Q: For the function f (x) = 2-x² – x² +x, (a) List the x values where = 0. (b) Are all of these values…

A: Consider the given function, f(x)=2x4-x2+x Find the first derivative of the given function,…

Q: Find the domain of the function. (If you need to use -o or co, enter -INFINITY or INFINITY.) f (x) =…

A: Given: fx=3-12x     if x≤29x-4       if x&gt;2 To Find: The domain of the function

Q: For the function f(x) = 9x² + 18x + 33, find f'(x) using the definition f(x+h) – f(x) lim h→0 h O 9x…

A: Last option is correct.

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x,…

A: Given, f(x)= x + 1/x  f(x)= (x²+1)/x For the function to exist the denominator must not be equal to…

Q: Use the given graph of the function to find the x-values for which f is not differentiable. Answer…

A: Given:

Q: x2 + 4x – 21 Let f(x) Write the domain of f as an interval. 2

A: see 2nd step.

Q: Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

A: Given function is fx=15x-34. To find the domain of the function. Solution: We have function…

Q: Find the domain and sketch the graph of the function.

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

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Q: Let  f(x) = 4x + 3  and  g(x) = 7x − 6.  Find the function. f/g (f/g)(x) =          Find the…

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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: Consider the function below. f(x) = Vx - 16x + 48 %3D What is the Domain? Enter your answer in…

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Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: (4x + 7 (ii) If f(x)={ 4x -1 18xs2 , determine whether the function f(x) is continuous 2<x<4…

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Q: 3) Find f'(x) for the function f(x) = V5x² + 3. Simplify the result.

A: given :

Q: What type of discontinuity does the function f(x)=xsecx have?

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

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Q: 4x 82. f(x) = X - 3

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Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: Find the domain of the function. h(x) = Inx+In(2-x). Express your answer in interval notation.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: Find the domain of the function in interval notation: f(x) = 1 I+3

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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: Find the domain of the following function. f(x) = V3x – 45 (Зх — Give your answer in interval…

A: Given : fx = 3x-45

Q: Find the interval where the function is increasing, decreasing, concave up, concave down and the…

A: the interval where the function is increasing, decreasing, concave up, concave down and the…

Q: Locate the absolute extrema of the function on the closed interval [-60,60]

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

A:

Q: For the function f(x) = 6x² + 14x + 31, find f' (x) using the definition f (x + h) – f(x) lim h→0 h…

A: Put values of x as (x+h) in given formula then calculate the expression before put the limit.

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: Find the domain of the function in interval notation: f(x) = V + 17 %3D

A: Domain is the set of x values for which the function is defined We know that square root (negative…

Q: Use the graph of f to find the interval(s) on which f is increasing, Where applicable, use interval…

A: A function is said to be increasing if the output of the function increases with value increases…

Q: For the given function, where is it concave up and concave down? Give your answers in interval…

A: Concavity of the function using second derivativetest

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: For the function f(x) = 6x² + 14x + 31, find f' (x) using the definition f(x + h) – f(x) lim h→0 h O…

A:

Q: Consider the function f(x)=√9-x^2 1. What is the absolute maximum of f on the interval [-1,3]? 2.…

A: Solved below

Q: For the given function, where is it concave up and concave down? Give your answers in interval…

A: h'(x)=2(e^(-3x) -3xe^(-3x)) h"(x)=2(-6e^(-3x) +9xe^(-3x)) h"(x)=0 2(-6e^(-3x)+9xe^(-3x))=0 -6+9x=0…

Q: What is f'(x) at x = -1 of the function f(x)=x^-2 + (x^2)^(1/2) *

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Q: For f(x)=1/1-x, find f(f(x)) and f(f(f(x))) (show work)

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Q: Describe the x-values at which f Is differentlable. (Enter your answer using interval notation.)…

A: Describe the x-value at which f is differentiable  f(x) = √(x+1)  +1

Q: Consider the function f(x)=2x^2−2 for x≥0. What is the domain of f−1(x)?  answer in interval…

A: Domain set of all input values where f defined Range set of all output values

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A: Graph of function is

Q: For the function f(x)=3x", evaluale : f(Xth)=

A: F(x) = 3x2 , put x = x+h                                                            F(x+h) =3(x+h)2…

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: Let f(x) = 11 – a², x > 0. Find and give the domain for f-1(x). where x ? ♥

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) k(x) =, Vx+4 x - 2

A: Given function k(x) = x+4x-2TO find : Domain of the function

Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

A: