what is the range of h if the domain of h is a set of negative integers?

Q: Find the domain of f(x) = 1/x and discuss the behavior of f near any excluded x-values.

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Q: For any function f(x), if g(x) =f(x2) then  is g(x)  always increasing?

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Q: Suppose that 2 <f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: Using Mean Value Theorm.

Q: The function (f/g)(x) is defined for all values of x that are in the domain(s) of  both f and g, and…

A: The denominator can not be equal to 0  Because any constant divided by 0 is undefined

Q: Find the absolute extreme values of the function on the given interval. f(x) = x4 + 8x3 + 14  on…

A:

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: The absolute maximum value of the function f(x) =x3 – 12x +4 on the closed interval [-1,3] is equal…

A: Topic = Application of derivative Absolute maximum value is 15.

Q: Consider f (x) =x³ – 6x² + 9x + 3 defined on the closed interval At which value of x does the…

A:

Q: If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

A: Given:  fx is continuous , f-1= 2, f2 = -1  To Prove:  fx has a root in -1,2

Q: 4. Determine the number of x-intercepts that appear on a graph of each function. a.) f(x) = (x +…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: If f'(x) and g'(x) exist and f'(x) > g(x) for all real a, then the graph of y = f(x) and the graph…

A: In this question we have to find how many time functions will intersect to each other.

Q: The domain of f/g consists of numbers x for which g(x) __________  0 that are in the domains of both…

A: we have to fill the following blanks ;  The domain of f/g consists of numbers x for which g(x)…

Q: Suppose f(x) is a twice-differentiable function which is positive and decreasing for all real…

A: Consider the given conditions for f(x) and assume the graph for function f(x) for the given…

Q: Find all values of x satisfying the given conditions : f(x) = 1 - 2x, g(x) = 3x2 + x - 1, and (f ∘…

A: Given: fx=1-2x,gx=3x2+x-1 and fogx=-5. for finding values of x which are satisfying fogx=-5, we need…

Q: all values of k that would make the function f (x) continuous at x = 3. I values of k exist, submit…

A:

Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph…

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) &gt; g(x) so they do not…

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 h is defined by h(x) = lxl + 2 a) what is the range of h if the domain of h is yhe interval…

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Q: Find the absolute maximum and absolute minimum values of f on the.given interval. (4) f(x)= -3,31…

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Q: Find a general formula for f((x) if f(x) = x-5. f(n)(x) =

A: fx=x-5.

Q: find the largest domain for f(x) = (x-3)2   with an upper x bound of 8 such that the function f is…

A: fx=x-32 Differentiating with respect to x, we get f'x=2x-3 Now function is non decreasing in the…

Q: Given that f(x) =x+2 and g(x) = x^2 - x find (f+g) (-3) if it exists

A: The given function:

Q: Let h(x)=f(x)g(x). If f(x)=4x^2−4x+4,g(−1)=2, and g′(−1)=0, what is h′(−1)? Do not include…

A: Given, h(x)=f(x)g(x), f(x)=4x2−4x+4, g(−1)=2  and g′(−1)=0 f(-1) = 4-4+4 = 4 f'(x) = 8x-4 ∴ f'(-1)=…

Q: Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of…

A: Given , Suppose that 2 &lt;= f’ (x) &lt;= 3 for all values of x. The minimum and maximum possible…

Q: If f'(x) and g'(x) exist and f'(x) > g (x) for all real x, then the graph of y = f(x) and the graph…

A: In this question we have to find if the graph will intersect or not.

Q: Find the length L of the graph of 3 (a) f(x)=x'2 +1 for 0<x< 4 3/2 1 (b) f(x)=In x -x² for 1<x<2 8

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Q: If f(x) =x²-x over x-1 and g(x) =x is it true that f=g?

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Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2

Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

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Q: Find k such that F(x)=x^3-kx^2+kx+44 has the factor x-4

A: To find k such that F(x)=x3-kx2+kx+44 has the factor x-4.

Q: If f (0) = -3 and f '(x) < 5 for all x, how large can f (2) possibly be?

A: Given f0=-3f'x≤5      for all x To find maximum value of f2

Q: Let f(x) = 1 and 1 if x > 0 g(x) 8 +- if x < 0 Show that f'(x) = g'(x) for all x in their domains.…

A: Given,The function g(x)=1x Consider only the case when x&lt;0 because already know that f(x)=g(x)…

Q: Suppose that 2 < f '(x) < 5 for all values of x. What are the minimum and maximum possible values of…

A: The given inequality is

Q: If the function f is continuous for all real numbers and if f (x) = when z# -2, then f (-2)= -4 B -2…

A: we will use the fact that f is continuous for all real numbers and hence we will use the definition…

Q: Find the value of k so that the function f is k-x2 x3 X< 3 continuous at x=3 and f(x) х-8

A: Given, fx = k-x2x≤3x-8x&gt;3   We have to find the value of k so that function is continuous at x =…

Q: Let h(x) = f(x)g(x). If f (x) = 3x² – x – 4 and g(x) = -x² + 2, what is h' (-1)?

A:

Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Express f(x) in the form f(x)= (x- k)q(x) +r for the given value of k. f(x) = 5x +x+x-8, k= - 1 f(x)…

A: Given that       f(x) = 5x3+x2+x-8 ,     k=-1 Here we have to express f(x) in the form        f(x) =…

Q: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

A:

Q: 5. If f(x)= kx³ + x² – kx+2, find k such that the graph of f contains the point (2, 12).

A: Given

Q: If f(x) and g(x) are defined on domains A and B respectively, then the domain of f(x) + g(x) is? *

A:

Q: a) The function m-x+e*,x=0 f(x)=- 2n, x>0 is x' -16x x<0 x - 4x continuous for all real values of x.…

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Q: Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A:

Q: If g (x) = 1 - x, defined at 0 ≤ x ≤ 1, graph its extension on the interval [-1, 1].

A: extension of the function

Q: If the function defined by 4x + 64 g(x): x # -16 is x + 16 k x = -16 continuous at a = -16, then the…

A: given function

Q: If the function defined by 6x + 144 x # -24 g(x) = x + 24 k is continuous at x = -24 x = -24, then…

A:

Q: Let g(x)= x-2/x+5 and h (x)= x+1/x+5. Then (h+g) (x) is equal to?

A: Topic  =Function

Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not…

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Q: The function h(x)=1 (fraction) x+9 can be expressed in the form f(g(x)), where g(x)=(x+9), and f(x)…

A: ANSWER : f(x) = 1/x   EXPLANATION :

Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function