Let f(z) = r?. 12 and g(z) = 1² – 6z + 8. Find f-g and and their respective domains. Simplify your answers. -I- 1. f .g= 2. What is the domain of f-g ? Answer (in interval notation): 3. 4. What is the domain of 2 ? Answer (in interval notation):

Q: Let f(r) = Va+1and g(x) = 2x – 5. Find fog and gof, and their respective domains. 1. (f o g)(x) = 2.…

A: The domain of the function is the set of all values for which the function is defined. f∘gx=f(g(x))…

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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Q: B3 (b): Apply Rolle's theorem for the function = x? + 5x over the interval[-5,0]. Justify your f(æ)

A: For verifying Rolle's theorem:   If f(x) is a real-valued function defined  on [a,b] such that,   i)…

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Q: f(x) is given below. 6. 4 2 3.

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Q: Find (fo f)(x). 6x + 25 Find the domain of (fo f)(x). (Enter your answer using interval notation.)…

A: To find: The value of f∘fx and its domain. Given: The function is fx=xx+5. Concept used: The set of…

Q: Find the specified domain and express it in interval notation. For f(x) = x2 – 64 and g(x) = 2x +3,…

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Q: What is the range of the f (x, y, z) = a4 – 6xy? + 723? No answer Any real number greater than or…

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Q: b. Choose the correct range of the function f(x,y) = In (3x2 + 3y?). O A. All non-negative real…

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

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Q: Find the range and domain of the function f(x) : 52? — 1х — 4 - - (hint: to find the turning point…

A: Given, fx=-5x2-x-4

Q: What is the natural domain of the function f (x) = /5 – x? Give your answer in interval | notation.…

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Q: 8. Find the domain of f(r):

A: Given fx=x+3x−1

Q: Consider the function below. List the answers. x2 – 7x + 10 | f(æ) = а? — 4х — 5 - - For what real…

A: Recall: Removable discontinuity is a point at which a graph is not connected but can be made…

Q: For the functions f(x) = /x-4 and g(x) = 5x find the following. (a) (fo g)(x) and its domain (b) (g…

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Q: could you help please help with these questions. Thank you

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Q: C1. Apply Rolle's theorem for = 7x² – 42x + 35 over the function f(x) - the interval |1,5|. Justify…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Function is concave upward when f"(X)>0  Function is concave downward when  f"(X)<0

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your…

A: (a)o represents the composition of functions and is defined as:Plugging the values,

Q: Find the domain of f and write your answer in interval notation. f(z) = 3/2 – 5z + 7 %3D

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Q: Find the (implied) domain of the function. (Enter your answer using interval notation.)…

A: Given function is: s(t)=t3t+12 To find the domain of the function.

Q: The domain of the function f= sech(3- is (22, A). Then The value of k= The value of A =

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Q: For the function f(æ) = æ5 – 2a³ + æ, find the intervals on which it is concave up. - 3 3 5 3 O [0,…

A: Given fx=x5-2x3+x

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

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Q: 1le F7 Enter an interval for each: Where is g(x) > 0? Where is g(x) 0? Where is g('x) <0? Enter a…

A: Given:

Q: For the piece-wise f(x). Find the value for m that will make f(æ) continuous for all real numbers:…

A: The concept used in this  question is that the left hand limit and right hand limit at x = -6.

Q: the 1. For f(x) = r8/3 - 4x5/3, find a). the domain and f', b). f" (simplify f"), %3D c). the…

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Q: Find the difference quotient f(x) = 2x² + 2x² Simplify your answer as much as possible. ƒ(x + h) −…

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Q: Which interval is f decreasing when f' (x) = x - x? (a). (-00,-1) (b). (-0o, 0) (c). (-1,1) (d). (0,…

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Q: List the points in the graph in the interval - 2 <x<7 at which the function is not differentiable.…

A: Proceed as shown

Q: Given g(x)=√x+6, 0 (-00, -6) O(-00, 6) Ⓒ (-6,00) O (6,00) on what interval is the function negative?

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Q: x* 2x 3x? For the function f(x)= 12 +1 find the intervals of concavity and + 3 2 inflection points.

A: The given function is: f(x)=x412-2x33+3x22+1 As we know that, The graph of the function is concave…

Q: For the function f(x)= x*+; A+x³-2x answer the following: a) Determine the intervals of concavity b)…

A: The given function is: f(x)=12x4+x3-2x To find the concavity and points of inflection, find the…

Q: For what value of x does the function f(x) 4x attain the point of inflection in the interval [-5,3]?…

A: A point of inflection is found where the graph (or image) of a function changes concavity. To find…

Q: 4. Find in the interval notation the domain and the range of the function: (a) -4, if r3 (b) and…

A: Given, fx = -4if x &lt; -2x-2if  -2≤x&lt;33x-7if x&gt;3     (a) We have to find the domain and range…

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: Use the given functions f and g to find f +g, f-g, fg, and . State the domain of each. (Enter your…

A: fx=2x+4gx=x+2f+g=2x+4+x+2F+g=3x+6Domain=-∞,∞

Q: Find the x-values that are a discontinuity of the function below: - 12 f(z) %3D r2 + 18x + 72

A: Given data: The given function is f(x)=(x-12)/(x2+18x+72). The domain is the value of x for which…

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: [4 Marks] B3(b): Apply Rolle's theorem for the function f(x) = 4x² – 16x + 12 over the interval…

A: Follow the steps.

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

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Q: Which interval is f decreasing when f' (x) = x3 - x? (a). (-00, -1) (b). (-∞, 0) (c). (–1,1) (d).…

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Q: -) Find the points of inflection and the intervals where f(x) is concave up or down. 3x f G6) = %3D

A: Given : f(x) = 3x / x2 - 9

Q: 1. Use the given pair of functions to find and simplify expressions for the following functions. f…

A: Given f(x)=7x2-9, g(x)=x

Q: Determine the domain of f(x). Give your answer using interval notation. 2. if 1 sxs 6 f(x) = x2 -…

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Q: 2. Find the domain of the following function. State your answer in interval notation. 2х- 1 + vx 2.…

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

A: a function f is concave upward if. f''(x)&gt;0 and concave downward if. f(x) &lt;0          As per…

Q: Find the indicated function and write it's domain in interval notation.  n(x)= x-5, p(x)=x2+6x,…

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Q: Vhich of the following statements is/are TRUE? - If f is an even function, then | f(x)dx=2 -a -a J.…

A: follow next step

Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

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