Let the function f: N N given by f(n) is equal to the sum of the digits in n. (note that the set N here is the set of natural numbers). Find: f(12)=

Q: Suppose that the function f is defined, for all real numbers, as follows. 7x-1 if x 2 f(x)=- -2 if…

A: Consider a function f defined for all real values, such that: fx=34x-1if x≠2-2if x=2

Q: The function f: RR defined by f(x) = 5x3 + 3x2-x + 7 is O(x). True False

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Q: Let f be the function with domain all real numbers x and defined by the formula f (x) = 3x3 - 4x2 -…

A: We have given fx=3x3-4x2-3x+7

Q: Suppose that the function h is defined, for all real numbers, as follows. -2 ifx -2 h (x) = - %3D -2…

A:

Q: Let f and g be the functions from the set of integers to the set of integers defined by f (x) = 2x +…

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Q: Suppose that the function f is defined, for all real numbers, as follows. X+1 if x2 Find f(-4),…

A: Find the attachment

Q: Suppose that the function f is defined, for all real numbers, as follows. 2 if x = -2 f(x) = { 3 if…

A:

Q: Use the graph of f to find (a) the largest open interval on which f is increasing and (b) the…

A: Consider the provided equation, y=x22x-1 Use the graph of f to find (a) the largest open interval on…

Q: The notation go f,called the . g with f, is defined by (g o f)(x) of the function

A: We know, Function composition is an operation involving two functions say f(x),and g(x).A composite…

Q: Let f(x) = 2x – 5 and g(x) = 3 - x. Find all values of x for which f(x) 2 3 or g(x) < 0.

A: Given: fx=2x-5gx=3-x To Find:  All values of x for which fx≥3 or gx&lt;0

Q: Let f(x)=x^3-3x^2-3x+9. For what values of x is f'(x)=0? What are the local max and min points for…

A: Given  f(x) = x3-3x2-3x+9 ∴ f'(x) = 3x2-6x-3

Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table.…

A: Find inverse of L. Let x=L(t)

Q: Find the sum of the values of f(x) = x2  over the integers 1,2,3,...,10

A:

Q: Suppose that the function f is defined, for all real numbers, as follows. -1 if x#0 f(x)= - 2. if x…

A: Graph of the function

Q: Given the function f(x) = -2x - 16x – 36x2, determine all intervals on which f is both increasing…

A: Given fx=-2x4-16x3-36x2

Q: Let the function f be defined by 3x - 3, for a 3 Evaluate f(-1) + f(4)

A:

Q: Let f(x)=2x-1, g(x)=6x-3 and h(x)=4x^2-4x+1, and find the following (f/g)(-2)=

A: Given f(x)=2x-1, g(x)=6x-3, h(x)=4x2-4x+1

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Draw the graph of the function on the interval -3n <x< 3n, and pick an appropriate value of x, to…

A:

Q: Let f (x) = 35x. Determine all x for which f (x) = 27.

A: Given, fx=35x.   The objective is to determine the value of x for which fx=27.   So, the value of x…

Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given, f(x) =2x≤-1ax+b-1&lt;x&lt;3-2x⩾3

Q: Use the graph of f to find (a) the largest open interval on which f is increasing and (b) the…

A:

Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: Write the function in the form f(x) = (x - k)q(x) +r for the given value of k. f(x) = 10x3 - 27x2 -…

A: Answer

Q: Let f be a function of x. f (x) = (x – 3)4 is an even function. - O True O False

A: Solution: The objective is to determine whether the given function is even or not

Q: Write the function in the form f(x)=(x-k)q(x)+r for the given k. Also demonstrate that f(k)=r

A: We first write f(x) using all the terms: f(x)=20x4+16x3-10x2+0x+19 Then we use the quotient rule to…

Q: Find the least integer n such that f (x) is O(x") for following function. f(x) = 17x +10x³

A: Given function is fx=17x4+10x3 We have to find the least integer n such that fx is Oxn. Since, the…

Q: f(x) = -2x² + 7 7x 10 - if x ≤ −1 if x > -1

A:

Q: Let f(x) = x − 5,  g(x) =    sqauare root of x + 5,  and h(x) = 4x3 − 5. Find the rule for the…

A: Topic = Function

Q: If h is defined by  h(x) = |X| + 2, What is the range of h if the domain of h is the interval…

A: The given function is h(x)=x+2

Q: Find a number c such that the function f(x) = 6 -2x can be written in the form f(x) = c".

A: Givenf(x)=6-2x

Q: Let f(x) = x + 6, g(x) = x2 - 10, and h(x) = 3x + 5. Find the rule for the function. %3! %3D f-g

A: given: fx=x3+6g(x)=x2-10h(x)=3x+5 we have to find a rule for the function f-g

Q: 3. For f(x) = x' + 14, find all x such that f(x) = -13.

A:

Q: Suppose that the function f is defined, for all real numbers, as follov x-1 ifx# -2 f(x) = if x= -2…

A: Given  for x = -5

Q: Use the IVT to show that f(x) = x 3 + x takes on the value 9 for some X in [1, 2].

A: Given- fx=x3+x To use- The intermediate theorem to show that the above function takes on the value 9…

Q: Suppose f(x) and g(x) = 2x – 8. x + 2 The domain of f og is E (Express your answer in interval…

A: First we have to find f°g(x)

Q: Given the function f(x)=−9 x−7, find f(6).       -51     6     -47     -61     33

A: Given, f(x)=−9 x−7-----(1) Replacing x with 6 in equ(1), we get

Q: Use the graph of the function f(x) shown below in order to determine all values of a in the interval…

A:

Q: Suppose that the function f is defined, for all real numbers, as follows. 4x+3 if x-2

A: Given piecewise -defined function fx=4x+3     if x≤-2x-2       if  x&gt;-2

Q: Use the graph of f(x)=x2 below to find a number δ such that ∣∣x2−1∣∣<0.2 whenever 0<|x−1|<δ.

A:

Q: Suppose that the function f is defined, for all real numbers, as follows. if x+ 2 f (x) = < if x = 2…

A:

Q: If  f(x)=x+4 and h(x)=4x-1, find a function g such that gof=h.

A: Let, Given that,

Q: Let f(x) = x4 - 2x2.  Find the intervals on which f is increasing and decreasing, and give the…

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Q: Given the function f(x) = 2x – 16x³ + 36x², determine all intervals on which f is both increasing…

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Q: For f(x)=2x3+4x2+3x-7, prove that there exist a number k such that f(k)=20.

A:

Q: Given the functions f(x) = Vx² –- 1 and g(x) = V25 – x², what is the domain of f – g within the set…

A: Given fx=x2-1gx=25-x2

Q: Find the sum of the values of f(x) = x³ over the integers 1, 2, 3, ..., 10.

A: The given function is fx=x3, over the integers 1,2,3.......,10.

Q: Suppose that the function f is defined, for all real numbers, as follows. 1 if x 2

A:

Q: Let the function f be defined by -5x + 4 for æ 2 Evaluate f(-1)+ f(3)

A: The given function is,  fx=-5x+4for x&lt;-1x2+3for -1≤x≤21for x≥2