The function f is constant on I if ________.

Q: Find two functions f and g such that h (x) = (f • g)(x). h (x) = |3 – 2x"| Select a function forf…

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Q: Define the function formula for each of the following given the function definitions for f, g, and…

A: We will define the composition of functions in the following cases as per the definition of…

Q: The function f (x) is defined below. What is the end behavior of f(x)? f(x) = -168 + 4x - 4x %3D O…

A: The given function,f(x)=-168+4x2-4x

Q: Given the following function: g(x) = a + 4x! Determine if the function is even, odd, or neither. (a)…

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Q: Let f(x) = 2x + 3/3x-2 , g(x) = 4x/3x − 2, h(x) = √3x − 12, F(x) = 3x + 4, G(x) = 2x − 3 a) Find the…

A: Solve question

Q: Find functions f and g such that  G = f ∘ g.  (Use non-identity functions for  f(x) and g(x)  G(x) =…

A: The solution of the problem is given in the next step.

Q: The domain of a function f of the two variables x and y is a subset of R. .A false .B true

A: Answer

Q: The functions f and g are defined by f: xx-3 and g : x x respectively. Find another function h such…

A: Let us consider three functions f(x) ,g)x) and h(x) then    the function hgf(x) is composite…

Q: The function h is defined below h(x)=x-9/x²-49 Find all values of x that are not in the domain of…

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Q: Let h(x) = f(g(x)). If g(5) = –3, g'(5) = –4. ƒ(-3) = -1, and f'(-3) = –5, find h' (5). %3D Do not…

A: We have to find derivative

Q: 2 x+4 f(x) = /x-2-5 g (1) = g (x) = 8+x h (x) = |-10+ 6x| %3D

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Q: Find functions f and g so that f o g=H for H(x)=|2x 2 -1|.

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Q: If f(-x) = -f(x), then the function is   A. neither B. odd C. even D. both

A: If   Odd function :- if f(-x) = - f(x), then function is odd Even function :- If f(-x) = f(x), then…

Q: A function of f is given. Find f^-1 f(x)=√x+1

A: Given that the function is         f(x) = √x + 1 Here we have to find the inverse of f i.e., f-1.

Q: Determine algebraically whether the given function is even, odd, or neither. 3 f(x) = V4x %3D O Even…

A: Given query is to find function is even or odd.

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: Let h(x) = f(g(x)). If g(5) = -3, g' (5) = –4,f(-3) = -1, and f'(-3) = -5, find h' (5). -4.f(-3)=…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The table shown contains points that lie on the graph of a function f. Which of the following…

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Q: Let h(x) = f(g(x)). If: f(3) = 0, f'(42) = –5, f'(3) = 4, g(3) = 42, & gʻ (3) = 0, then h'(3) =

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Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains.

A: Given: f(x)=2x, g(x)=xx+2. To find: The functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains.

Q: Determine whether the function is even, odd, or neither k(w) = (1 - w) 3 + (1 + w) 3

A: the given function is: kw=1-w3+1+w3 we have to determine whether the given function is even, odd or…

Q: Define the function formula for each of the following given the function definitions for f, g, and…

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Q: Test whether the given function is even, odd, or neither: f(x) = x6 – x3 + 1 Select one: a. even b.…

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Q: Determine the values of x for which the function f(x) = {2x 2 − 4   x < 2 x + 2     2 < x < 5 7 x ≥…

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Q: A function, f(x), has domain 0 < x < 12 and range -8 < f(x) < 4. f(3) = -5 f(7) = 2 Select all…

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Q: Let g be the function defined by g(x) =    −  1 2x + 8     if x < 5     x − 5     if x ≥ 5. Find…

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Q: 5. Find functions f and g so that h(x) = (fog)(x). 1 h(x) x2 – 7

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Q: Determine the domain of the function f(x) = x-2 (a) all real numbers (b) all real numbers except x=2…

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Q: Find the formula for f∘g(x)

A: f•g(x) = f(g(x)) It means replace every x in f(x) with g(x).

Q: Which of the following is the domain of the function g(x) 2-x 0(-00,2 O (-00, 0) O [0, ∞0) O (-0, 2)

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Q: 10 x Show that the function f(x)= is not 5 x^2+1 one-to-one functions by giving two different real…

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Q: A function g is given by g(x) = x2 – 3. Find g(-1) , g(0), g(a + h) , and g(x+h)-g(x)/h

A: Consider the given function. Find the value of the function for x = -1, 0.

Q: Define the function formula for each of the following given the function definitions for f, g, and…

A:

Q: Let g be the function defined by g(x) =    −  1 2x + 9     if x < 2     x − 2     if x ≥ 2. Find…

A: Topic = Function

Q: 13. Determine algebraically whether g(x)= is an even function, an odd function, or neither.

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Q: Given g(x) = x2 + 4  and h(x) = x − 3,  evaluate the composite function: g[h(0)]

A: Composite Functions Definition Let f : A → B and g : B → C be two functions. Then the composition of…

Q: 5) Find functions f and g so that f • g = H -3 H(x) = Vх — 2

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Q: 11. Determine algebraically whether the function is even, odd or neith g(x) = x2 +3

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Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains.

A: Given function are: fx=xgx=2x-4

Q: (a) Find the natural domain and range of the following functions.

A: "Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: 2) Let f be a function given by (Зх + 2 if x > 1 if -2 <x <<1 x < -2 f(x) = - х2 — 1 if Find f(0),…

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Q: A school opened with 100 students. The number of students has increased by 25% each year since the…

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Q: Function g(x) = ax + b is a one-to-one function if a is not zero, but it is not a one-to-one…

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Q: Find functions f and g so that h(x) = (f • g)(x). h(x) = 2 %3D x-2 f(x) = 1/x, g(x) = x²-2 f(x) =…

A: Given: hx=fogx and hx=1x2-2 hx=fogx=fgx  So, fgx=1x2-2 Check fgx for each given option (i) fx=1x,…

Q: 1. Determine algebraically whether the function is even, odd or neither: g(x) = %3D x2 +3

A: solution:-g(x)=g(-x)  :   even functiong(x)=-g(-x)  :   odd functionotherwise neither odd nor…

Q: (f) Letf : A →→ B and g : B → C be functions. Prove that if g of is one-to-one, then f is…

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Q: If g(x) is an odd function defined for all values of x, can anything be said about g(o)? Give…

A: Consider the function tx  The function tx is an odd function We know that if the function is an odd…

Q: Find functions f and g so that f•g=H H(x)=1/x^2-6

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Q: Give any two functions F and G which of the following statements is always true

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: