f(x +h)-f(x) f(x) - f(a) and Evaluate and simplify the difference quotients for the function below. x-a f(x) = x+7 f(x+h)-f(x) (Simplify your answer.) f(x)- f(a). X-a (Simplify your answer.)

Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: Given f(x)=x48-7x To find f'(-3)

Q: Find the domain of the function f(x) = 3x- 5z - 4 Use interval notation to express your answer.…

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Q: Find the domain of the function f(x) = (x+4)/(x2-9)

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Q: Describe the end behavior of the function f(x)= √7x

A:

Q: 1) Give an example of a function whose domain does not include x = -2 or x = 2.

A:

Q: Differentiate: (Do not simplify or plug in any numbers); You must use the chain rule where required.…

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Q: Amazon usic 8 3\ 3 10 125% 3. Suppose f(x) = x² 25 and g(x) )= x²-7x-30. a. Determine (x). b. Find…

A:

Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: Find f'(-2) if f(x) = 3 -7x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) =    x 3x2 + 2x…

A: We have to find the domain and range of the function…

Q: x-1 The Domain of the function f(x) = is x²-4

A:

Q: Differentiate the function. g(x) = 6x + 5

A:

Q: An exponentional function takes the form y= ab x . What does the "a", and "b" represent?

A: solution:-

Q: Differentiate the function. g(x) = (3+2x)/(7-8x)

A:

Q: x- 3, x 1' find f(3)

A: f(x)=x-3,   x<1x2+5,   x≥1   Now we have to find the value of f(3)   Here, x=3, which is >1…

Q: Find the domain of the function. (Enter your answer using interval notation) f(x) = x^4/x^2+x-72

A: Given: f(x)=x4x2+x-72

Q: 5) Differentiate the function and simplify your answer as much as possible. Do not forget to show…

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Q: Health Care Suppose that P1x2 represents the percentageof income spent on health care in year x and…

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Q: Example: Evaluate the function for the given values of x x+7 for x < -2 x2 for-2sxS1

A: Topic:- function

Q: Simplified function of g(x)=-3x(1+x)+3x^2

A: multiplied parenthesis with -3x

Q: x² - 4 or False The domain of the function f(x) is {x|x + ±2}. True

A: The domain of a function is the set of values for which the function is defined. Function being…

Q: Select the function the expression the product of (f * g)(x) = f(x)= -4x and g(x)= 2x-1 divided by…

A:

Q: f(x) = 2x + 7 and g(x) = x³ + x + 13 what type of function is (f + g)(x) ?

A: Given: f(x) = 2x + 7 and g(x) = x³ + x + 13 Our task: (f + g)(x) ?

Q: Consider the function. f(x)=x2-8x+12 d) Determine the number of times the graph of the function…

A: The function is given by f(x) = x2-8x+12 To evaluate : The number of times the graph of the function…

Q: x6 (x) 12

A: Given:  Given that a piecewise function fx=x,  x&lt;-2x2-4, -2≤x&lt;412,  4&lt;x&lt;68,  x=6-x+10,…

Q: If f(x)= 7x + 2, find f^-1(x). Please do not add any space between characters in your answer. For…

A: Given

Q: Give an example of a function whose domain is (-2, 2)

A: Domain is the set of values, x can take.

Q: Find the domain of f.  f(x) = x - 4/(x - 8)(x + 8)

A:

Q: Find the domain of the function f(x) = √x + 6/x2 - 4.

A:

Q: Give an example of a function whose domain is [-2, 2]

A:

Q: F(x)=x+7 & g(x)=2x-3 what is (f-g)(x)

A: Givenf(x)=x+7 &amp; g(x)=2x-3

Q: 1 Domain Find the domain of the function. 55. f(x) 56. f(x) = x - 3 Зх — 6

A: Domain: 55.f(x)=1x-3At x=3 the function f(x) will be discontinuous.So the domain of f(x) is…

Q: let f(x) = x-4/ x2+x-6 and g(x) = x+2/ 2x+6 find an equation of the function f-g   ( simplify your…

A:

Q: The functiong (x) = |x² – 16| + 5is differentiable everywhere except where x = Type the value of x.…

A: Consider the function g(x)=|x2-16|+5. This can be written as g(x)=x2-16+5, if x≤-4-x2-16+5, if…

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = x + 4

A:

Q: Using first principles, (a) Show that (f(x)-8(x))'= f'(x)-g'(x).

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: x6 12 10- 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question Of Evaluate of the function f (x, y) = x³ + y²x - 3. Write the expression in terms of x and…

A: topic - partial differentiation

Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

Q: 10. A company's earnings can be represented by the function f (x) = 2867x+36500, where x represents…

A:

Q: f(x) = -5-8 g(x) = -3x² - 6x - 2 Find: f(x) g(x)

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Q: -601 -40 20 -10 -5 5 10

A:

Q: True or False If f (x) = x2 and g (x) = √(x + 9), then ( f ∘ g ) (4) = 5.

A: Given- fx=x2 and gx=x+9 To Find- Whether the value of fog4=5 is true or not.

Q: Give an example of a function whose domain does not include x = -2 or x = 2.

A:

Q: Evaluate the function F(x) = -3x^2 - 20 Find f(-9)

A: The value is:-

Q: Consider the functions f(x)=2(x - 3)^2 - 4 and g(x)= -2 (x - 3)^2-4. Without graphing either…

A: Given: fx=2x-32-4gx=-2x-32-4

Q: c-x- 12 Consider the function f(x) %3D x+4

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: ANALYZE FUNCTIONS 1. What is a factor of polynomial f(x) for which f(-2) = 6, f(-3) =0, f(5) = 2,…

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

Q: It takes three hours for a pipe to fill a tank of water if the tank does not leak. However, the tank…

A: It takes 3 hours for a pipe to fill a tank of water if tank does not leak. The tank has a crack that…

Q: 6x - f(x)%3= x² 1

A: Given function is : fx=6x2-1x2 Substitute 5 for x in above function, f5=652-152=5.96 Substitute -5…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.