is : The domain and range of the following function f (x) =.

Q: Consider the functions f(x) and g(x), for which f(0) = 2, g(0) = 5, f'(0) = 10, and g'(0) = 5. Find…

A:

Q: 2-f(x)={/¬x

A: Explanation of the answer is as follows

Q: The ________ of the function f with the function g is (f ∘ g)(x) = f(g(x)).

A: we have been given a statement we have to fill it with appropriate word. Statement : The ________ of…

Q: Find f(x+h)-f(x) given the following function.f(x)=-2x-8x2

A: f(x) = -2x - 8x2Hence, f(x + h) = -2(x + h) - 8(x + h)2 = = -2(x + h) - 8(x2 + 2hx + h2)

Q: Evaluate the function ( f/g)(0) for f(x) = x + 3 and g(x) = x2 − 2.

A: Given functions are fx=x+3 and gx=x2-2.   The objective is to find f/g0.   It is found by…

Q: Find the domain and range of the following function f(x) = |x| – 2 %3D

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Q: a) Is the function f(x) = x + odd, even or neither

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

Q: Given the function f(x) =

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Q: Find g'(x) for the given function. g(x) = /15x

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Q: Find the domain and range of the following real function: f(x) = – |x|

A: Let us make a table for f(x) = – |x| x -3 -2 -1 0 1 2 3 f(x) -3 -2 -1 0 -1 -2 -3 Then we…

Q: What kind of functions is the following function f(x) = :? (x2-1) %3D

A:

Q: The function g(x) is defined below. Which of the following statements is true?

A: Definition used – The Y-intercept of function – Y-intercept of function can be found by…

Q: find the domain and range of the function.f (x) = −x

A: Given: fx=-x To Find: The domain and range of the given function

Q: he domain and range of the following function f (x) = x+1 is : x-1

A: Given that  f(x)=√(x+1)/(x-1) To find the range and domain

Q: snip

A: Find the domain of the function.         fx=x-1x+4

Q: (a) write formulas for ƒ  g and g  ƒ and find the (b) domain and (c) range of each.

A:

Q: For Exercise, determine if the function is even, odd, or neither. -x v(x) x| + 2

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Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

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Q: Find the domain and range of the function F(x)= sgn([x]+1)

A: Given: To find the domain and range of the goven functionF(x)=sgn([x]+1)

Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: find functions f and g so that f ∘ g = H.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

A:

Q: Find the domain and range of the following function f(x) = |x| – 2

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

Q: Consider the functions  f(x) =√x and g(x)= 2x-1  Find out: (f°g)(x)

A: Find the composition function.

Q: f(x) = x' +x² +1 and g(x) = 4 – x²

A:

Q: Given the following function: f(x) = 2x For g(x) f(x) dx, determine g(x).

A: Given,       fx=2x       gx=∫fxdx

Q: p(x, y, z) = 4 – x² – y²

A: Domain of the function is the values of x,y and z for which function is defined.

Q: Evaluate the function ( f + g)(2) for f(x) = x + 3 and g(x) = x2 − 2.

A: Solution:f(x)=x+3    and     g(x)=x2-2To find (f+g)(2):Formula:(f+g)(x)=f(x)+g(x)

Q: If f(x) : = x + 9 and h(x) = 2x – 4, find a function g such that g of = h. g(x) =

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Q: Find the functions, f ∘ g and g ∘ f and their domains. f(x) = 2x,    g(x) = x + 1

A: Given, fx=2xgx=x+1

Q: Find the two functions f and g such that:

A:

Q: Find f(x+h)-f(x) given the following function.f(x) =-9x2-2x

A: f(x) = -9x2 - 2x Hence, f(x + h) = -9(x + h)2 - 2(x + h) = -9(x2 + 2hx + h2) - 2(x + h)

Q: Find the domain and range of the function. f (x) = |x|

A: To find the domain and range of the given function.

Q: Given the functions defined by f(x) = 3x² – 2 and g(x) = x² – 2, calculate the following: (f •…

A: Ans:Given,fx=3x2-2 and gx=x2-2we have to find fog-2

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: For Exercise, a function is given a. Find f(x + h). b. Find I* + h) – f(x) f(x) = x2 + 4x

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Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Given the functions: f (x) = -4x g (x) = |x+2| Evaluate the function (f-g) (x) for x = -7.

A: f(x) = - 4x and g(x) = | x+2 |

Q: a) Is the function f(x) = x+ odd, even or neither

A: Given, fx=x+1x

Q: What is the domain and range of the function? Sketch the domain. f(x,y) = -(ln(x2+y2-9))2-9

A: We need to find the domain of the given function. Note that "ln" is defined only for positive…

Q: Express the function,h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given, hx=2x-53

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

A: Given function is, fx=-x4+12x2-27. It is factorize as follows:…

Q: 3-f(x)=

A: Explanation of the answer is as follows

Q: Express the function,h(x) =1/(4x + 5) as a composition of two functions f and g so that h(x) = (f ∘…

A: here given as hx=fogx=14x+5

Q: 4. Given the functions f(x) = x + 2 and g(x) = x², determine all values of x for which f(g(x)) =…

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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.