Relations and Functions If f(x) = x² + 2x, find f(a+h)-f(a) a.) h² + 4a +2h b.) h? + 2a +2h c.) h2 + 2h d.) h? + 2ah + 2 %3D

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range…

A: Given information:The given function is f(x)=X5+x^2  and g(y)=1/y-2.

Q: f(x+h)-f(x) for g(x) = 4x²-3x h 5) Find the difference quotient, i

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Q: For this question, enter answers as numerical values. Note the required order for the x-intercepts.…

A: To find y intercept

Q: X, Y interceptes and graph the function  f(x)=-(x-2)^3+1

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Q: f(x)=2x2-x  find the difference quotient in form f(x+h)-f(x)/h

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Q: On [-27, 47), f(x) ==Y². Find all values of x. Find the x-intercepts of f(x) on [-27,47).

A: Let fx=cosx  First find fx=-22 on [-2π,4π) ⇒cosx=-12 x=cos-1-12 x=-5π4,-3π4,3π4,5π4,11π4,15π4

Q: f(x)= 2/x, g(x)= x/x+2 Find the domain of ( g o g ) ( Enter your answer using interval notation)

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Q: f(x) = 2, g(x) = 2x + 8 Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using…

A: As per bartleby guidelines, for more than three subparts only 1st three are to be answered. Please…

Q: x*. 7x3 1) Find the interval(s) where f(x) =- 6 --4x+3 3 is concave down and concave up. Also find…

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Q: Find the x- and y-intercepts for the function. f(x) =  x + 1 x2 + 9 x-intercept      (x, y) =…

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Q: f(x)=2/x, g(x)=x/x+2 Find the domain of ( f o f ) ( Enter your answer in interval notation)

A: Given fx=2x     gx=xx+2

Q: using (i) f(x) — е' , а — In4 (ii) f(x) = Inx , a= 3

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Q: f(x,y)=x^4+y^4-4xy Find all the endpoints of the function.

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Q: The finction f(x) = x3 + ax2 + b has a critcal point at (-2, 6). Find the constants a and b.   a.…

A: We have to find the value of a ,b for a given function.

Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: Find the values of x for which f(x)=g(x).

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Q: f(x)= -2x -1 g(x)= -1/2 (x-2)^3 -5 Determine where g(x)>f(x)

A: Given fx=−2x−1 and gx=−12x−23−5 We have to determine where gx≥fx Now, solve gx≥fx…

Q: f(x) = 2x3 - 3x2 - 36x +14 - %3D use f" (x), find where function is concave up O(- 1/2, 3) O (1/2, +…

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Q: 2 = 3x + 2 and g(x) = 5x² + 2x. Let f(x) After simplifying, (fog)(x) =

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Q: f(x)=x The domain is (Type your answer in interval notation.)

A: Given query is to find the domain of the function.

Q: f(x + h) - f(x) What is the coefficient of the term contaning the variable h when is performed, and…

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Q: et the function f be defined by the equation y = f(x), where x and f(x)are real numbers. Find the…

A: The domain of the given function is determined as shown below

Q: V. Given: 2. Find f'(2), if it exists. el3z-61-2, f(x)=[2x - 5], √x²-9, if x ≤2 if 2 3

A: Solution is given below:

Q: Find the maximum and minimum values of the function and the values of x and y where they occur.  F…

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Q: f(x+h)-f(x) h Let f(x) = 5x² + 6x-3. Find the difference quotient::

A: Solving the problem by finding the value of the problem.

Q: x – 3x2 A curve is defined by the function f(x) = „2 + r –6 -

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Q: x3, x<2 Let f(x) = Find the values of a and b so that f'(2) exists. ax2 +b, x22

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Q: Rx) = V5 - x, g(x) Vx -9 (a) f+g V5-x +V-9 | State the domain of the function. (Enter your answer…

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Q: x-values If f(x) = g(h(x)), then f'(1) =

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Q: f(x) = x², g(x) = Vx - 3 Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using…

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Q: Find the domain and range of the function. Use interval notation to write your result. f(x) = V 4x -…

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Q: Find the domain of the function. (Enter your answers using interval notation.) f(x,y) = e−xy domain…

A: For exponential functions, there are no restrictions on the values of x and y

Q: 3. For the domain -2,-1,0,1,2,3 with f(x) = x + 2 and g(x) = 2x - 1 Determine the range of (gof)(x).…

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Q: domain of the relation y=1/6-x

A: Domain of a function is a set of real numbers in which the function is defined.

Q: x-5x-14 f(x)- 2 x+11x+18 d all values of x that are NOT in the than one value, separa

A: Function: - In arithmetic, functions area unit the foremost basic facet of infinitesimal calculus.…

Q: F(x)= -√5 x find f'(x)

A: Given: fx=-5 x To Find: f'x=?

Q: Find the x- and y-intercepts of the graph of the equation. f(x) = 5x − 15 x-intercept     (x, y) =…

A: To find the intercepts set x and y = 0 f(x) = 5x - 15 or the line can be written as y = 5x - 15 For…

Q: ах — 3 (b) Let f(x) = 5 – 2x and g(x)=- Find (i) a if g(-3) =3. (ii) (f°g)(2). (iii) g"(x) .

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Q: f : [-5, 0] → B is defined as f(x) = x². Find the range of f. O A. [-1, 00) O B. [0, 0) O C. (-∞0,…

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Q: f(x +h) - f(x) Find and simplify the difference quotient , h#0 for the given function. f(x) = 4x?…

A: fx=4x2fx+h=4x+h2=&gt;fx+h=4x2+2xh+h2=&gt;fx+h=4x2+8xh+4h2

Q: function (pmf) f(1) = c(x – 1) for r -4, -2,2,4, where c is a constant. (a) Find c. (b) Find P(-2< X…

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Q: discontinuous. 2 f (x ) = -7 a. X x² -9 b. f (x)=-

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Q: ertex and x- and y-intercepts of f. (If an answer does (x, y) = (x, y) = (smaller x-value) (x, Y) =…

A: The given quadratic equation is,  f(x)=2x2+28x+90

Q: CONTINυITY (c) The function f (x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x - a,…

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Q: f(x)={(4-2x, x2)} Describe the interval(s) on which the function is continuous. (Interval Notation)…

A: Given Data The function is f(x)={(4-2x),x&lt;=2),                                      {x²-3,…

Q: = csc x and the interval [0, 27), for what value of x does f(x) : On the graph of f(x) apply. = -1?…

A: We can find the answers as below in support of the above question.

Q: rse of f (x). Find g' (x) given 5).

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Q: Find the x- and y-intercepts for the function. x + 3 f(x) = x + 4 x-intercept (x, y) = (| %3D…

A: We use the definition of x and y- intercepts of a function to answer the given question.