Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 2x? h(x) =x-2 Write the expressions for (h+g)(x) and (h ·g)(x) and evaluate (h-g)(3). (i + g)(+) = [ %3D (**g)(x) = [] %3D (*- 8) (3) = 1 %3D

Q: If f(a) = 4x3 - 11x + 14x - 6, then show the values f(0) and f(1) have different algebraic…

A: A real valued function is said to be continuous as whose graph does not have any breaks or holes.…

Q: Determine the real root of f(x)= -25+82x-90x2+44x3-8x4+0.7x5. Iterate until the estimated error…

A: The False-Position (also known as Regula-Falsi) method uses the formula:…

Q: Suppose that the function g is defined, for all real numbers, as follows. g(x) = 3 (x+1)²-1 if-2<x<2…

A: The function is  g(x)=14x-2if x≤-2(x+1)22-1if -2&lt;x&lt;23if x≥2

Q: Show that the function g (x) = x³ - x² + 1 has at least one real root.

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Q: Determine upper and lower bounds on the zeros of the function. f(x) = 10x* + 3x° - 54x -6x + 17 is…

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Q: 4. Find all real values of x such that f (x) = 0. 5x -8 f(x) = 9

A: Answer is x=8/5

Q: 21 - 2 for f(x) = for 3D Find f(-1)

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Q: The domain of h(x) 7 - consists of all real numbers except 0 and 3, represented in interval notation…

A: Given function is hx=1x+7x-3. To find domain. Solution: Domain of a function is the value of x for…

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Q: Let ƒ(x) = x3 - x - 1. Use the Intermediate Value Theorem to show that ƒ has a zero between -1 and…

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(-2) = 3.

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Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(0) = 0

A: Given: f(0)=0

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Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: The domain of g(x) = 3 consists of all real x - 2 numbers except 2, represented in interval notation…

A: Given :          g(x) = 3x-2 To determine :              The domain of g(x) interval notation

Q: If f(x) <0 for all real numbers x then f is decreasing or increasing on its interval?

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Q: If 4x-2x² <f(x) <x²–2x+3 for all real numbers except for x=1, then Selected Answers: limf (x) = 2 x…

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Q: Jse f(x) = x²-x, g(x) = 9 – 2x, and h(x) = x² + 2x-63 Evaluate (go h)(-1)

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=4x+5…

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Q: . Show that there exists a real number 0 <x< 2 so that x' + 8x² – 10 = 0 -

A:

Q: The function f(x) = 4 for x<2 and f(x) = 4 for x2 2 has domain of all the real numbers. True O False

A: The given function is a constant function. We find it's domain by using the definition of domain of…

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Q: Suppose that a function ƒ(x) has the property that ƒ(x1 x2) = ƒ(x1) + ƒ(x2) for any two positive…

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Q: 2- Let g(x) = x5 - 8.6x* + 38.782x3 - 17.25x² - 4.5927x + 10.5 then the value of g(0.25 x 101) =…

A: The objective is to state whether the statement is true or false. For the polynomial…

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Q: function with real n=3. 3 and 5+5i are zeros: (1) 164

A: Let's find.

Q: Use calculus to find the critical number of f(x)= x4/4 - x3/3 -3x2+10

A:

Q: Suppose the functions f and g are defined for all real​ numbers, x, as​ follows:   ​f(x)= -3x+12…

A: The given functions are: f(x)=-3x+12g(x)=2x2-18 The function fg(x) is another function obtained by…

Q: Prove that f(x)=4x-2^2x has at least one real zero in the interval [1,2] without actually solving…

A: The given data is: Prove that fx=4x-22x has at least one real zero in the interval 1,2 without…

Q: Find a real number b such that x²-6x+5 26 lim x-5

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Q: The domain of g(x) =3/(x - 2)consists of all real numbers except 2,represented in interval notation…

A: To Determine: The domain of g(x) interval notation as (- ∞, 2) ∪________. Given: we have a function…

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Q: Use the Intermediate Value Theorem to show that f (x) = x5 + x3 − 5x + 2 has a root (that is, takes…

A: Given equation is

Q: (i) Show that f(x) = 6x³ – 2x2 + 4x – 3 has exactly one real root. (j) Show that f (r) = x + 2x5 +…

A: Given: i. fx=6x3-2x2+4x-3ii. fx=x7+2x5+3x3+14x+1 To Show: Given equation has exactly one real roots.…

Q: Find all zeros. f(x) = x^4−x^2−30 f(x) = x^4+ 2x^2−15 f(x) = 3x^3−7x^2−7x+ 3

A: Since you have sent more than 3 sub parts therefore according to our policies we are bound to answer…

Q: Find the maximum value of f(x)=x^3-3x on the set of all real numbers x satisfying x^4+36< (less then…

A: Given: The function fx=x3-3x To find: The maximum value of given function on the set of all real…

Q: Show that for all real values of x, [(x-2)(x-4)] / 4x - 7 cannot take values between -1 and -1/4

A: Question: Show that the for all value of x                                    fx=x-2x-44x-7 can not…

Q: ) Show that |2x - 2|-|x+1| +2≥0 for every x € R.

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(1) = 0

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Q: I have no idea how to approach this question.  Any insight would be greatly appreciated.

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Q: Find critical number of g(x) = x^2 - 8x +9

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Q: Suppose that the functionh is defined, for all real number 1 2 x++5 if x -2 h (x) = < %3D -3 if x…

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Q: Let x be a real number. Show that 1 [3x] = [x] + | x + - 3 3 ++1+

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Q: x^2 + 1/x^2 > 2

A: Here we use a property of real number which is square of any real number is non negative.

Q: Find an upper limit for the zeros of 2x4 - 7x3 + 4x2 + 7x - 6 = 0 5 4 -1

A: The given polynomial is  2x4-7x3+4x2+7x-6= 0