QUESTION 1 Find the domain of the composite function f g. f(x) 8(x) =x + 6 %3D x + 9' O (x|x -9) {x |x -15) O {x |x is any real number) {x |x -9, x* -6}

Q: QUESTION 3 The function r(x) is defined as follows: - 2x, x<-1 r(x)= 3x, x2-1 Determine whether r(x)…

A:

Q: Question 12 10 If f is a continuous function and F'(x)= f(x) for all x E R, then x)dx=? 2[F(10) –…

A: We have to solve the problem

Q: Question 1 Let ƒ be a function with domain R, such that f(x) = 0 for x 1. -3 -2 -1 1 21 (a) Define…

A:

Q: Question 2 of 16 Find all points c satisfying the conclusion of the MVT for the function f(x) = 6x…

A:

Q: Question 2: Check whether the given functions have at least one solution over the given intervals by…

A: Intermediate value theorem Theorem States that if function is continuous on the interval [a,b] and…

Q: QUESTION 6 A critical point of the function occurs at an interior point c: when eitherf'(c) = 0 or f…

A: Critical Point:- A critical point is a point in the domain of the function where the function is…

Q: 1- 4x ,0<x<1 Let f(x) = [x - 2x].1sx<2 Then discuss the differentiability of f(x) in(0, 2).Here [.]…

A:

Q: Question 5 Assume that dx = 3, f(x) dx = e, g(x) dx = -3, g(x) dx = , and f is an odd function and g…

A:

Q: Question 2 Consider the following function f (x) = |2 – x| - |x – 4| On which of the intervals is…

A:

Q: Question 9 of 12 > Attem Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x6 1 g(x) бх…

A: Explanation of the answer is as follows

Q: Question 1 А. Use Euler's Theorem on homogenous functions to show that the function x³y3 is f(x, y)…

A: Applications of derivatives

Q: Question 7 Let f : R - R be a continuous function which does not take on any of its values twice. Is…

A:

Q: QUESTION 3 Provide the slope of the line tangent to f-(x) at the point (-2,1) where f(x)= x5 +2x³ -…

A: slope of tangent line on  f-1 (x) is the derivative of f-1 (x) at the given point .

Q: Question 14 Given the functionf(x)= 4 determine the interval/s at which f(x) is continuous. x+1…

A: f(x)=4x+1Note :If multiple question are given we have to answer only one question .if you want other…

Q: Question 2 Given a continuous function f with exactly one critical point. Find the x-values at which…

A:

Q: Only a portion of the graph of f(x) is shown below, but you can assume that f(x) is a continuous…

A: When curve below x axis then integral is always give negative values for that region

Q: Part 3 of 8 (c) Find all x for which f (x) 0. Value(s) of x for which f (x) = 0:

A:

Q: 1. Below function is defined for one period 1 10 99 X 1 10 f(x) = { -9x + 9 - 10 ≤ x < -1 - 1<x< 1…

A: hi!Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: x3- 3 if x 2. B-10. Is the function defined by f (x) { continuous at x 2? Differentiable I at x =…

A: Given piecewise function is: fx=x3-3if x≤2x2+1if x&gt;2 To determine whether function is continuous…

Q: 1. lim 5* = X-2 f(x) f(x) 5.873094715 3. 125 1.1 2.5 1.3 2.3 1.5 2.01 25.40561478 1.99 24.60086108…

A: 1. The given limit limx→25x Note:    Multiple questions are given, we are answer with only one…

Q: Question 1. Find the interval(s) where the function f(x) = is continuous. Vx² + 2x + 1

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 Find a formula for f-'(x) if f(x) = ( x – 1 x + 1 f-'(x) = (5-1)'(2) =

A: Solve the function

Q: Question 2: Tutorial 10 x² and g(x) (b) If f(x) x³ with x € [1,1], find the c € (-1, 1) by using…

A:

Q: Question 5 Describe the long run behavior of f(x) - 5(3) – 4 %3D As - O0, f(x) → |? v As a 00, f0 >…

A: See the attachment

Q: x3-1 si x + 1 x4-1 f (x) = Determine whether the following Function 9.- %3D 1 si x = 1 b) Is…

A:

Q: Question 1 Let f(x) = 1 – xe(1-2). (a) Show that x = 1 is a root of f(x) with multiplicity 2.

A:

Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

A:

Q: Question 2 Using the “PIECEWISE" command, plot the given function and label all critical points. Be…

A: Critical points are those points where function f(x) become zero shows by x in the x axis . Filled…

Q: Question 3 For the given functions f and g, find the requested function and state its domain. 5x…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. (f -…

Q: Question 2. Find values of x, if any, at which f is not continuous. 3 f(x) x-1 %3D

A:

Q: Question 24 The function f (x) = 2x² – 8x + 4 is increasing on the interval ... A [2, ∞ ) B (- ∞ ,0]…

A:

Q: QUESTION 8 Determine where the given function is increasing and where it is decreasing. f(x) = x 2 +…

A:

Q: Question #2: Suppose f (0) = 0 and f"(x) > 0 for all x > 0. %3D Show that g(x) = is increasing.…

A:

Q: Question 16 Find the RANGE of the function f (z) = 6z-5 1243z Section 4.2 Oy + 2 O # -4 Oy+ Oy+-4 O…

A:

Q: Question 13 For the two functions 8z-11 %3D 7+10z 6z-+5 f (x) = and 9 (2)= 12-3z find the DOMAIN of…

A:

Q: Question 4: If you are given f(x) as follows: if x -2 2 Show that f(x) is continuous at x = -2 ?

A:

Q: (a): Find the value of k that makes function continuous at æ = : 4 ( 2x + 6 x > 4 7x – k a < 4 f(x)…

A:

Q: QUESTION 9 · Let h(x) : f(x) 8(x)' , where f(-3) = 7,f'(-3) = -9, g(-3) = -2, and g'(-3) = 1. What…

A: Given hx=fxgx where f-3=7f'-3=-9g-3=-2g'-3=1 To find h'-3

Q: The graph of a transformed version of f(x) = cos(x) is shown below. Come up with a formula that…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Chapter 4, Section 4.1, Question 036 The figure below is graph of a derivative f'. Select all of the…

A: Observe where f'' is zero

Q: Question 2 x2 – 1 x5 Choose all that apply. A [-5, 5) [- 5, 5] (- 6, – 4) [5, + ∞) (E) (- ∞, - 5)…

A: Topic continuity Of a function NOTE -AS per bartleby Guidelines, we are supposed to Solve Only first…

Q: Question 4. Given f(x) = x²/6 – x² on the interval [-V6, v6), find the intervals where f is…

A:

Q: Question %3D Select all of the following that are critical numbers for the function f(x) = (x2 -…

A:

Q: Question 1. Suppose that f is a function whose domain is R and satisfies the following properties: •…

A:

Q: QUESTION 4 Explain WHY Rolle's Theorem can or cannot be used to state that f '(x) must be equal to 0…

A: Solve for value

Q: 1. To two decimal places, find the value of k that will make the function f(x) continuous…

A: Given problem:-

Q: The range of the function f(x)=2- sin 1x is: O a. [-1,3] O b. [-2,2] Oc. [-3,2] O d. [1,3] O e.…

A: We need to find the range of the function f(x).   Range of Sine inverse x is (-pi/2 to pi/2).

Q: Example 5.8: Knowing that f(x) is odd function 2 -3 | f(x).dx = 6 and | f(x).dx = 10 frind f(x). dx…

A:

Q: QUESTION 9 Let fx) = cot-1x). On (-∞, x) : o f 'x) >0 o -1< f(x) < 1 o f'x) < 0

A:

Q: Question 8 At what numbers is the function f(x) = Sommer O At all real numbers O At all real numbers…

A: