For the function f, construct and simplify the difference quotient f(x + h) - f(x) 29) f(x) = 2x - 6 -12 A) 2 + 29) B) 0 C) 2 D) 2 + 4(x-6)

Q: Verify that f'(x) = 18x² – 9, where f(x) = 6x³ – 9x – 9.

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Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: 3,Find f(xth) When f(x)= -3x²+2x +5

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Q: What's the counterexample of |x+3|=|x|+3

A: Consider a equation: x+3=x+3……1   Now, counter example means to find a value of x for which above…

Q: 23) f(x) = -2x³(x - 1)²(x + 3)

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Q: 9x+4 f (æ) 5x²–8

A: Given function is fx=-9x+45x2-8. To differentiate the function using quotient rule. Solution:…

Q: Apply the difference quotient f(x)=2x^3-5x^2-6x+3

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Q: What is f(3)? f(x) = 3x²+9 x +1 f(3) = [? ]

A: Given the function fx=3x2+9x+1 We shall find f3 i.e., the value of the given function at x=3

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

A: Given: fx=5x, gx=2x2+1 & hx=6x+2

Q: Compute the difference quotient  f(x+h)-f(x) / h  for f(x)= 4x2-9x

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Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: snip

A: Given polynomial function is: fx=x7+6x5-x4+x+2 We will check whether 23 is a zero of f(x).

Q: For the function f(x) = /=+2, find ƒ-'(x). %3D 4 Of (x) = (4 (x - 2))° Of- (x) = (4x – 2)5 O f-(x) =…

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Q: differentiate the expression with respect to x, assum- ing that y = f (x) 5. (x2+y2)3/2

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Q: snip

A: To determine whether 13 is a zero of fx=4x3-5x2-3x+1. Solution: Factor theorem states that if x-a is…

Q: ren that f(x) = 6x - 6 and g(x) = 2- r', calcula f(g(0)) %3D 9(/(0)) - %3D

A: The question is taken from the above function and we have to find the composite function at the…

Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

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Q: What is f(x^2)? *

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Q: When f(z) = 8z 4z +5, evaluate f(- 2) f(- 2) =

A: The given function is: f(x) = 8x2 - 4x + 5

Q: Verify that 2²4 ахду 22+ ду ах - for f(x, y) = 2x³y6 - 4x5y4.

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Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: 2 Is a zero of f(x) = x' + 6x° – x* + x + 2? Explain.

A: If 23 is a zero of f(x)=x7+6x5-x4+x+2 then it gives f(x)=0 f23=237+6235-234+23+2…

Q: Use the Product Rule to differentiate f(r) = Vr(5r - r)

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Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: What is f′(x) when f(x)=7^9x?

A: If the given function is g(x)= af(x)  then its derivative is given as- g'(x)=af(x) (logea)(f'(x)) We…

Q: Let f (x) = 2x and g (x) = 3x2 + 1, find(go f) (x). Show your work using the Equation Editor Tool.

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Q: By use of the quotient rule, differentiate the function f(x) = ! 4-x? 1+x2

A: Given a function, we need to use quotient rule and solve.

Q: snip

A: Is 13 is a zero of fx=2x3+3x2-6x+7 ? Explain.

Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

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Q: show that flzi2)= f (2)f(2).

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Q: Let f(x) = 56 – r and g(x) = ² – 2. Then the domain of fogis equal to

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Q: Explain why f(x) satisfies the Intermediate Value Theorem. f(x)=ex - x3 - 8

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Q: If f (x) = 3x + 7, find: %3D f(-2) = [ ? ]

A: Given,     f( x ) = 3x + 7

Q: Differentiate and simplify. f(x)=Je* +In (x² +4)

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Q: How to do intermediate value thereom f(x)=2x3+6x2-8x+2 : [-5,-4]

A: Consider the given function

Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: What is the domain of f(2) = Va + 4?

A: Domain is {x€R; x>=-4}. And explanation is given below....

Q: What is the domain of * f (x) = /25 – x²?

A: Domain of a function is the set of input or argument values for which the function is real and…

Q: Determine the points of inflection if they exist f (x) = x³ – 3x² + 2x + 5 1 {-3, 4.8} does not…

A: We need to determine the points of inflection of the given function.

Q: Compute and simplify the difference quotient for f(x) = v4- x². %3D

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Q: What is the greatest value of f(x) = 2x3 - 9x2 + 12x   in the interval 0 ≤ x ≤ 3?

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Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: Find the inflection points of f(x) = 2x* + 19x³ 15x2 + 11. (Give your answers as a comma separated…

A: Given: f(x)=2x4+19x3-15x2+11

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

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

Q: 11. F = (3x2 - 3x)i + 3zj + k

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Q: If f(x) = 6 + 2x 5a2, find f'(- 1). %3D Question Help: DVideo MMessage instructor Add Work Submit…

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Q: In the function 4x2+4x-2, what is f(x+h)? Is this asking for me to find the difference quotient? If…

A: f(x+h) means you have to replace x by x+h in f(x). Then we simplify it.

Q: let f(x)=√(2+2x)  f′(4)= ?

A: The function is

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.