If F is a function from A to B and x is an element of A, then F(x) is ________.

Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: 3. Create/Draw one (1) example for each of the following types of function: a. Surjection function…

A: We solve this by using definition of the following

Q: For all functions f and g, f o g(x) = go f (x). O True O False

A:

Q: The table contains some input-output pairs for the functions f and g. x f(x) g(x) 3 10 6 4 7 10 6 3…

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: Each function f is defined as f : R - R. Prove why each of the functions is one to one or not one to…

A: See the attachment

Q: (x+ 1)(x-4) (x+ 1)(x+ 5) The function is not defined when x =

A: Given that  Function = (x+1)(x-4)(x+1)(x+5)   We know that  01 =0    ;     10 =Undefined    ;…

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

A: H(x)=2x+1

Q: 3-x A function is defined by f ( x ) = 3*, where x * 0. Find f-¹ ( x ) Select one: 3 x+1 a. O b. ³/1…

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Q: If f is one-to-one and f( – 15) = 1, then || f-1(1) = and (f( – 15))¯ ||

A: The objective is to to find the required values

Q: Each function f is defined as f :R +R. Prove why each of the functions is one to one or not c one.…

A: We will check the one to one of these functions

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: Example 10 Let X = {a, b} and Y = {1,2,3}. Find the number n of functions: a. From X into Y, and b.…

A: Suppose, set X has p elements and set Y has q elements. Then, the total number of functions from set…

Q: a. Determine whether f(x) = 5/(x+1) is a one-to-one function from R to R, if not, give a counter…

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Let f be a function. If f (a) = f (6), then a = b. O True O False

A: We have to check is true or not

Q: If f is an even function, then f −1 exists.

A: Consider an even function ,f(x)=x2 For,x=±2,we have f(±2)=4 Hence, given function is not…

Q: B. Compose the function f and g and determine, from your answer, if the functions f and g are…

A: This question is based on Sets and Relation.

Q: Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use…

A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: What is a 1–1 function? A function f is a 1–1 function if, for any a and b in the range of f, f(a) =…

A: Given:[1]. A function f is a 1–1 function if, for any a and b in the range of f, f(a) = f(b) implies…

Q: 3. and g(x): 1 be functions. Which of the following is the domain of the composite function (f o…

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Q: (c) Show that if f is entire and |2020 + if(z)| 2020 for all z, then f is a constant function.

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