Use the given functions f and g to find f +g, f-g, fg, and . State the domain of each. (Enter your answer for the domain in interval notation.) fx) = 2x +4, g(x) = x+2 f+g% D domain f-g domain fg domain domain

Q: Given f(x) = x4 − 2x2 . Find the intervals of increase or decrease.

A: We find the critical points first  to find critical points we need f'(x) Then set f'(x)=0 and solve…

Q: Given f(x) = x- 3 and g(x) = 5x2, first find f+ g, f-g, fg, and - Then determine the domain for each…

A: The objective is to solve the above question.

Q: each) Determine the domain of given functions. Write your answers in interval notation. a.) f(x) =…

A: We have given function  (a)  fx=2x-42x2-x-6 Domain is the values of x for which a function is…

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

A:

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

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: We have to find intervals

Q: Find the domain of the following function: 2x (x) = x2 – 9 Write your answer in interval notation.

A:

Q: snip

A: To find the domain of f(x)=x+5x2+3x-18. Solution: We know, domain of a rational function f(x) is set…

Q: Not sure why I got this problem wrong.

A: Part(a) Guven function

Q: (a) Which function dominates as x- 00? 4* and x* 4*

A: The objective is to determine which function is dominates the other

Q: Givenf(x) = x2 - 4, x ≥ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same…

A: Given that f(x)=x2-4

Q: if f(x)=√x and g(x)=2x+5, then state the domain of (gof)(x)

A: Given:       fx=x       gx=2x+5   Then      gofx=gfx                   =gx         gofx=2x+5

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

A: We will use double derivative test.

Q: x9 + 7X -3 %3D anction f(x):

A: Explanation of the solution is given below...

Q: Ух) %3 2in(x — 1х

A:

Q: if f(x) = 3x-5 , g(x) = 4-x2 then find the values of  f(f(2)) and g(g(3))

A:

Q: a) find the domain and range of the function в Сху) =5 4-x2_ye 4-х

A:

Q: Write the domain in interval notation. x-3 (a) f(x) x-4 x- 3 (b) g (x) : x¯-4 x- 3 (c) h (x) = 2…

A: Domain is defined as the set of values of x for which the function is defined.

Q: n C(x) = x³ – 4x² + 9x + 60.

A:

Q: Write the domain and range of the function in interval notation. q(x) = 2x2 - 12x + 2 Select one:

A: Given:     qx= 2x2-12x+2

Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x2 - 20x – 1…

A: Solve by derivative

Q: 5. Which function has both domain and range of all real numbers? a. y = x2-5 b. y = (x + 2)3 c. y =…

A: To find  the function having domain =R and range =R.

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

A:

Q: How many x-intercepts can the graph of f(x) = ax2 + bx + c have? (Select all that apply.) zero one…

A: Find x- intercepts:

Q: Determine the domain of the function: 5а + 3 h(x) = x² + 3x - 4 Write your answer in interval…

A:

Q: Determine the domain of g(x). Give your answer using interval notation g(x)= x-1/5x^2-15x-50

A: Topic:- domain of function

Q: If f(x) = 8 and g(x) = Vx-6, find (a) f+ g, (b) f- g, (c) fg, (d) and the domain of each. (a) (f+…

A: We have to find the operation in function

Q: Let 9x? f(x) = 2 . (3х — 4) (3- 2. (4x + 5)(a 24x + 16 - 4x2 + 9х + 5 1) The domain in interval…

A: In the question we have to find Domain and y , x  intercept points. AS PER OUR GUIDLINES WE CAN NOT…

Q: Given the function f(x) = x³ - 6, (a) Find f (x). (b) Graph f and f1 in the same rectangular…

A: Given fx=x3-6

Q: Find the domain and range of the function using interval notation. G(x) = -4x – 3.

A: Find the domain and range of the function using interval notation. G(x) = -4x – 3.

Q: The points of inflection of the function f(x) = 2x - 6x? - 5x 1 is: O 4 O 3 O 2 O 1

A: Find the inflection points of the function

Q: Without graphing, determine whether the graph of each function is symmetric with respect to the…

A:

Q: Find the natural domain and graph the functions ƒ(x) = 1 - 2x - x2

A: This is a polynomial function. so the domain of it is all real numbers.

Q: Which is the quotient of f (x) if f(x)= 2x? + 3x-5 and g(x)= 3x² -x -23 g(x)'

A:

Q: Refer to functions m and q. Evaluate (qm) (x) and write the domain in interval notation. Write your…

A:

Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x2 – 4x – 2…

A:

Q: If the x-intercepts of a function are -1 and 3, then f(-1) =______ and f(3)=______. The…

A: Use the definition of x-intercepts which state as A function f(x) has x-intercepts at x=a if f(a)=0…

Q: 29. f(x) = -3x² + 5 (0,5)

A:

Q: find the natural domain and graph the function   f(x)=square root (-x+5)

A: Consider the function fx=-x+5 The function fx is defined when -x+5≥0⇒x≤5⇒x∈(-∞ , 5] Hence, the…

Q: Q3) If f(x) = x +5 and g(x) = x - 3 find each function and its domain for: (fog), (gof),…

A:

Q: Write the domain in interval notation. x-4 (a) f(x) = x-9 %3D x-4 (b) g (x) = x-9 %3D

A: Domain: It is the set of values that input can take so that the function is still defined and give…

Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x2 - 4x - 8

A: Given  f(x)=2x2+4x-8

Q: Find the natural domain and graph the functions(answer all points) f(x) = 1 – 2x – x²

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

Q: Write the domain in interval notation. (a)f (a) = 10 – |a-4| 5 (b) g (a) = 10 - a-4 5 10- la-4| (c)…

A:

Q: For each function, identify if the function is: • an EVEN function. • an ODD function. Neither an…

A:

Q: 6. State the domain of the function f(x)=logs(39–13x). Write the domain in interval form.

A: Logarithms

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: Find the indicated function and write its domain in interval notation. x - 5 x - 7 32) s(x) : (x) =…

A:

Q: 5. Find the maximum or minimum of the function, and state whether your answer is a maximum or…

A:

Q: State the domain and range, and draw the graph of the function by the given formula. ) f(x) = x –…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.