For Exercise, given y = f(x), a. Divide the numerator by the denominator to write f(x) in the form f(x) = quotient + remainder divisor b. Use transformations of - to graph the function. х 5x + 11 | f(x) : x + 2

Q: -4x By use of the product rule, differentiate the function f (x) = x³e¬4×.

A: Rule:

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: Q4, Find the domain of Hi function few =J2x+5-1 三J2×+3 -1

A:

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

A:

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: Consider the function f(x) = 2x² – 2 for x > 0. %3D What is the domain of f-(x)? Write your answer…

A: The given function is the one-one function in the given domain.   Replace f(x) by y and then…

Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

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Q: 11) Find the point of inflection of the graph of the function. f(x) = xVx – 27 %3D

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Q: The domain of the function fal= ln (6-5x-x²) is

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Q: How are the zeros of g(x) related to the standard form of the function?

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Q: Q2// Sketch the graph of the function defined by the formula 0, x<-1 f(x) = {V1- x2 ,-1<x<1 x 2 1 X…

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Q: 17. Find the difference quotient for the function f(x)%=(x²+1) °, then simplify.

A: Given function is:

Q: Let f (x) = 5x, g(x) = 2x² + 1, & h (x) = 6x + 2., find (go f) (x). Show your work using the…

A: fx=5x, gx=2x2+1, hx=6x+2

Q: In the function:  f(x)= (5x)/((x^2)-25  How do you find the x-values of the inflection points?…

A: Given function is,

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

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Q: Given that f(x)=x^2+3x-70 and g(x)=x-7, find (f-g)(x) and express the result in standard form

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Q: Find the values of a and b such that (-1, 2) is a point of inflection on the graph of f (x) = ax-…

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Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: The polynomial parent function y = x* has been transformed. What is the equation of the new image

A: Introduction: The shifting properties of a graph are very significant. Using these laws, one can…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: 10. Find the difference quotient of the function f(x) = V2x – 3. Simplify so that there are no…

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Q: 1 For f(x) = what is the difference quotient? 2x- 1

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Q: 9.Use the graph of f(x)- v2x +4 to graph the inverse of (x) on the same set of axis.

A: Consider the graph of the functions y=fx and y=gx. If the graphs are symmetric about the line y=x,…

Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

Q: find f '(x) using the definition of the derivate if f(x)= (4)/2x+3

A: We are given the function,                        f(x)= (4)/2x+3. We need to find f '(x) using the…

Q: Find (f -1)'(a) for f(x) = 4x – 3 when a = –15. Enter an exact answer.

A: Our objective is to find an exact answer of the above question.

Q: 6. For the function in vertex form, f(x) = 2(x+ 3)² – 5, change to the equivalent standard form by…

A: in multiple question we are allowed to answer only first one .

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: How many asymptotes does the function Ax) = x-1 (x+ 1) have?

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Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: Find the asymptotes of the function f(x)=3x2−2x+1x−1

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Q: Al6)- (;) ) A (;) - (:) |zuso -gsino) f) A(3); (xsine +yuno

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Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: f(x) = (4x2 – 5x)e"

A:

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: 1. When the function f(x) is divided by x + 2, the quotient is x2 -x -8 and the remainder is -3.…

A:

Q: 3. If f(x) = 2x + 5, find f(-1) %3D a) Using evaluation: fo-2x +5 b) Using graph:

A: Given,          fx=2x+5

Q: Find the differnce quotient with steps  use the function f(x)= x^2-16 and using formula…

A: Given that f(x)=x^2-16 differnce quotient f(x+h)-f(x)/h

Q: Compute and simplify the difference quotient x+ h) - f(x) hzo f(x)- 8-X

A: Option D is correct Explanation is given below...

Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: Find the asymptotes of the function f(x)=x2−2x−3/x

A: