Suppose that the functions f and g are defined as follows. f(x) = /x-1 g(x) = 2x-5 %3D Find f-g and f g. Then, give their domains using interval notation.

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

A: To Find: Value of k which will make function continuous

Q: Find f.g and f-g. Then, give their domains using interval notation.

A:

Q: he domain of the function f(x) = Vx+5 is In(3-x) %3D

A:

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

Q: Suppose H (x) = (2-2x)*. Find two functions f and g such that (f og) (x)=H(x).

A: H(x)=(fog)(x)=f(g(x))

Q: Find the open intervals on which the function is increasing or decreasing.        y = x + 9/x

A: To find the critical points we solve dy/dx=0

Q: find the intervals on which the function f(X) = x3+5x2-8x+1 is strictly increasing function

A:

Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1&lt;x2 we have fx1&lt;fx2. Similarly a function f(x) is…

Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

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Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: The graph of f(x) = is (increasing/decreasing) over its domain.

A:

Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

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Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

A:

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Find the intervals on which f (x) = x(x + 2)(x − 3) is positive by plotting a graph.

A: The graph of the given function is shown in the figure below.

Q: Find the absolute maximum of the following function over the interval [1,3]: f (x) = x3 – 9x2 + 24x…

A: Differentiate the function with respect to  x and equate it to zero to find critical points,…

Q: Graph the function. 2x + 1, if x 2 f(x) = and determine if this function is continuous.

A:

Q: Sketch the graph of the function and state its domain.

A: Given a function f(x)=ln 2x To find the domain : The domain is given by all the values of x where…

Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: ) Find (f-g)(x) for the given functions. f(x)=3x²-x+5 and g(x) = 5x²-3

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Q: Find the domain and sketch the graph of the function.

A:

Q: Find the open intervals on which the function is increasing or decreasing.

A: Given: f(x)=(x-1)2(2x-5)

Q: Find the intervals on which the function f(x) =x2 +5x2 -8x+1 is strictly increasing function

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Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

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Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: find (f◦g)(x) and (g◦f)(x) for the pair of functions and give their domains.  f(x)=1/x^4, g(x)=4-x

A:

Q: In the given question, , use a graphing utility to graph the function and find the x-values at which…

A: Function:                         f(x)=4xx-3

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

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

A:

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: Find a formula for a function that f(x) =

A:

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

A:

Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,…

A: Answer: The solution is as given below:

Q: Find the values of a and b such that the following piece wise function is continuous at points x-2…

A:

Q: On what domain is the function f(x) = 3x + 5x + 6 continuous?

A: The given function is, fx=3x2+5x+6

Q: Find the open intervals on which the function is increasing or decreasing           f(x) = (x −…

A:

Q: Let f be the function (8x-1 for x х Find the values of a and b that make the function continuous.

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Q: 2x+5 g (x) =3x-4

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Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: ⇒f(x)=x3+5x2-8x+1⇒f'(x)=ddx(x3)+5ddx(x2)-8ddx(x)+ddx(1)⇒f'(x)=3x2+10x-8⇒f'(x)=3x2+12x-2x-8⇒f'(x)=3x(…

Q: Find the domain and range of the function: 1 1- V5 - x

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Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

A:

Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.